Find the value of c so that (x+1) is a factor of the polymonial p(x)=5x^4+7x^3-2x^2-3x+c

Answers

Answer 1

Answer:

BRAINLIEST PLZZZZ

Step-by-step explanation:

Also given that (x+1) is factor of given polynomial p(x).

Need to determine value of constant c.

We will be solving above problem using factor theorem.

Factor theorem says that if ( x – a) is a factor of any polynomial f(x) , then f(a) = 0.

As in our case f(x) = p(x) and factor of p(x) is (x + 1) , which can be rewritten as (x – ( -1)) , so "a" in our case is -1 .

According to factor theorem p(-1) = 0

On substituting x = -1 , in given expression of p(x) we get

Hence value of c in the given polynomial is 1

Answer 2

Answer:

c = - 3

Step-by-step explanation:

[tex] \because [/tex] (x+1) is a factor of the polymonial [tex] p(x)=5x^4+7x^3-2x^2-3x+c[/tex]

Let (x + 1) =0[tex] \implies [/tex] x = - 1

[tex] \therefore [/tex] at x = - 1, p(x) =0.

[tex]p(x)=5x^4+7x^3-2x^2-3x+c \\ \\ 0 = 5( { - 1})^{4} + 7( { - 1})^{3} - 2( { - 1})^{2} - 3( - 1) + c \\ \\ 0 = 5 \times 1 + 7( - 1) - 2 \times 1 + 3 + c \\ \\ 0 = 5 - 7 - 2 + 3 + c \\ \\ 0 = 7 - 7 + 3 + c \\ \\ 0 = 3 + c \\ \\ c = - 3[/tex]


Related Questions

Charlie makes $425.25 in sales each month. How much money should expect to make in 2.5 years?

Answers

Answer:

$12,757.50

Step-by-step explanation:

2.5x12=30 months

30months x 425.25= 12,757.50

What is the domain of the function below?

A.


B.


C.


D.

Answers

Answer:

A

Step-by-step explanation:

Hold on servers are swamped please wait.

What is the equation of this line?


A. y=2x−3

B. y=−12x−3

C. y=−2x−3

D. y=12x−3

Answers

Answer:

2×-3 is the best equation for this.

Answer: y=2x-3

Step-by-step explanation:

Find the difference between 8/15 and- -2/3. Show all calculations in your final answer.

I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!

Answers

8/15 - (-2/3)
Its like adding them when its -(-#), so we turn it into 8/15 + 2/3
Now we make each fraction have the same denominator; 8/15 + 10/15
Now we solve by adding; 18/15 = 1 1/5

Answer:

1 1/5

Step-by-step explanation:

LCD = 15

8/15 + 2*5/3*5

8/15+10/15

8+10/15

18/15

6/5

1 1/5

WILL MARK BRAINLIEST!!
Read and answer
try ur best :)

Answers

Answer:

C

Step-by-step explanation:

Answer:

It is 1.50

Step-by-step explanation:

(2x+4)/3=6

x=

what does x = i need help quick

Answers

Answer:

15

Step-by-step explanation:

x=7

multiply 6 by 3 to get it out of the left side =18
subtract 4 from both sides
divide 2 by both sides

I’ll give brainliest

Answers

Answer:

The graph of the system of equations solves the equation  [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7 ⇒ C

Step-by-step explanation:

Let us revise some important notes about the slope and y-intercept of a line

The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the left

The y-intercept (0, b) is the the point of intersection between the line and the y-axis

If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negative

To solve our question without any calculation, let us find the direction of the slopes and their y-intercepts

∵ The direction of the blue line is to the left

→ That means m in the equation is negative

∴ Its slope is negative

∵ The line intersects the y-axis at point (0, 2)

→ That means b in the equation = 2

∴ The number in the equation is 2

→ Look at the answer we have two answers have negative slope and

   y-intercept 2 in the left hand side ⇒ C and D

∴ The equation of the blue line is represented by the left side [tex]-\frac{1}{4}[/tex] x + 2

→ that means the equation of the red line is represented by the right side

∵ The direction of the red line is to the right

→ That means m in the equation is positive

∴ Its slope is positive

→ Only C has a positive slope in the right side

∴ The equation of the red line is represented by 2x - 7

The graph of the system of equations solves the equation  [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7

Another way:

You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (4, 1) as the point of intersection of the two lines in the graph

Kira started a game at 4:37 PM and finished it at 5:16 PM.
How long did it take her? Give your answer in minutes.

Answers

Answer:

39

Step-by-step explanation:

4:37 till 5:00 is 23 minutes.

+ 16 minutes

= 23 + 16

Answer:

39 minutes

Step-by-step explanation:

First, find how much time passed between 4:37 PM and 5 PM.

Since there are 60 minutes in an hour, subtract 37 from 60:

60 - 37

= 23

There are 16 minutes in between 5 PM and 5:16 PM.

So, add the 23 minutes to 16:

23 + 16

= 39

So, it took her 39 minutes

help pls im so confused

Answers

the correct answer is c!

Which is the best approximation for sqrt 55
A) 7
B) 7 2/5
C) 7 7/15
D) 8

Answers

The best approximation for sqrt 55 would be: B) 7 2/5

Brody bought 22 chicken wings for $37.40. If Brody spent $30.60, how many chicken wings did he buy?

Answers

Answer:

18

Step-by-step explanation

18 wings costs exactly 30.60

A grocery store is making fruit baskets using 144 apples, 108 oranges, and 90 pears. Each basket will be identical. What is the greatest number of fruit baskets the store can make using all the fruit?

Answers

i think u multiply all them,dont think im right,if im right let me know.

Answer:

answer is 18

Step-by-step explanation:

help me pleaseeeeeeeeee

Answers

Answer:

I believe its B or C

Step-by-step explanation:

Im sorry if its wrong, if its right can you mark me brainliest?

y = -5x - 8
y = 4x + 1

Answers

Answer:

X= -1

Y= -3

Step-by-step explanation:

y=-5x-8

y=4x+1

-5x-8=4x+1

+5x. -1 +5x -1

-9=9x

-1=x

Y=4(-1)+1

-4+1

Y=-3

Please help me with this question. Hope to get answers asap!

Answers

Answer: Approximately 7.4162

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]\sqrt\\ 55[/tex] = 7.416198487095663, rounded to the nearest integer is 7.

Please help me with this algebra problem, it’s in the picture. I’ll give you brainliest if it’s correct!!

Answers

Please Mark brainliast

please

What is 2 ^ 5/3 raised to the third power? Simplify your answer.

Answers

Answer:

2^5 or 32

Step-by-step explanation:

Maybe Answer: 2^5 or 32

Round 10,463.24 to the nearest whole number.

Answers

Answer:

10,643.24
Hope it helps

Need help ASAP! Tysmm

Answers

Answer:

26

Step-by-step explanation:

-4*2+3*4-2

16+3*4-2

16+12-2

28-2

26. PEMDAS

To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.


HELP PLS MY TEACHER NEEDS IT DONE NOW​

Answers

Answer:

11286

Step-by-step explanation:

The volume of a box or a cube is base time height times height.

base × width × height = volume

19 x 22 x 27 = volume

=11286

Hope this helps!

It can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.

What is the volume of a Cuboid?

The volume of a cuboid is given by -

V = L x B x H.

where -

L is the length

B is the breadth

H is the height

Given is a statement made by a student who says - To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.

Since the dimensions of the base represent a rectangle, We can place 27 layers over it one after the another, the resulting figure will be a cuboid, such that the height of the cuboid will 27 units. The volume of the box will be -

Area of its base x 27

Or we can write -

19 x 22 x 27

11286 units³

Therefore, it can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.

To solve more questions on Cuboids, visit the link below-

https://brainly.com/question/24175529

#SPJ2

Mary’s mother invested in an internet stock the price went up and down over the next few months: +32, -10 +13 -25 at the end of the time period had the price of the stock finished higher or lower than it started show work

Answers

Answer:

higher

Step-by-step explanation:

add all of these numbers, if the sum is positive it is higher, if the sum is negative it is lower

32-10+13-25=10, this is positive so it is higher

Write an equal ratio for the fraction 5/7

Answers

Answer:

To find an equal ratio, you can divide or multiply by the same number on the top and bottom of the fraction. For example...

5 x 2 = 10

7 x 2    14

So, by multiplying 5 and 7 by 2, 10/14 is another fraction that is equal to 5/7. Here's some more possible answers if you need them...

5 x 3 = 15

7 x 3    21

5 x 4 = 20

7 x 4    28

Hope this helped you c:

graph a right triangle with the two points 4,5 and -4,8​

Answers

Answer:

Step-by-step explanation:

Please write points using parentheses:  (4, 5) and (-4, 8}.

(4, 5) is in the 1st quadrant and (-4, 8} is in the 2nd. Reversing the order of these two points yields (-4, 8) and (4, 5).  From this we can see that while moving from (-4, 8) to (4, 5) involves following a line with negative slope (because the y-coordinate decreases from 8 to 5 as the x-coordinate increases from -4 to +4).  This sloping line is the hypotenuse of a right triangle.  Draw a vertical line segment through (-4, 8) and a horizontal line segment through (4, 5).  This hypotenuse, the vertical line segment and the horizontal line segment are the boundaries of the desired right triangle.  

3.d) A pattern has 4 blue triangles to every 12 yellow triangles. What is the ratio of blue triangles to all triangles? * O 4:12 O 12:4 O 4:1 O 1:4​

Answers

Answer is D) 1:4

Explanation:

For every 4 blue, we have 12 yellow. This means 4+12 = 16 total.

The ratio of blue to total is 4:16 which reduces to 1:4 when we divide both parts by 4. The order of the values matters since 1:4 is different from 4:1.

What goes in the blank below.

In a rotation, the pre-image & image are _______.

The corresponding angles have the ________ measurement.

The corresponding sides have the ________ measurement.

Answers

Answer:

  congruent, same, same

Step-by-step explanation:

In a rotation, the pre-image & image are congruent.

The corresponding angles have the same measurement.

The corresponding sides have the same measurement.

hello guys please help 96 ÷ 3

Answers

Answer: 32

Step-by-step explanation:

This is a simple question:

If you want to know if its divisible by 3 then just add up the digits in 96.

In this scenario 3 is divisible because 9+6=15 and 15 divided by 3 = 5

Now use long division to solve:

96 divided by 3 = 32

Hope this helps! :)

BRAINLIEST

You are purchasing plants and have 30 dollars.A mall plant cost $2.00 and a large plant cost $6.00 Let x represent the number of small plants and y represent the number of large plants write in standard form.

A.6y=2x+30
B.2x+6y=30
C.2y+6x=30
D.-2x-6y=30

Answers

Answer:

id say C because 2 times 6= 12 and 6 times 2 is 12 and 12+12 = 24 and all the other answers are over 30

Step-by-step explanation:

id say C because 2 times 6= 12 and 6 times 2 is 12 and 12+12 = 24 and all the other answers are over 30

good luck and have fun :)

If B is between C and D, BC = 10 in., and BD = 3 in., then CD = ________.

Answers

if B is between C and D, BC= 10 in., and BD=3 in., then CD =2AD

Answer: CD is 13
See attached picture

How to do solving equations in two variables​

Answers

Answer:

plz give me brainly but the answer is

Step-by-step explanation:

In a two-variable problem rewrite the equations so that when the equations are added, one of the variables is eliminated, and then solve for the remaining variable. Step 1: Multiply equation (1) by -5 and add it to equation (2) to form equation (3) with just one variable.

The scale of a map is 1 cm : 7 miles find each distance.
A road is 4 cm long on the map. find the actual length of the road.

Answers

pretty sure the answer is 28 miles
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