All categories

2 years ago

Is x + 3 a factor of the polynomial 2x^3 + 5x - 3?

Mathematics

1 answer:

Lapatulllka [165]2 years ago

5 0

Answer: n = - 6

Step-by-step explanation:

Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0

Here

f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is

f(- 3) = (- 3)³ + 2(- 3)² - 5(- 3) + n = 0 , so

- 27 + 2(9) + 15 + n = 0

- 27 + 18 + 15 + n = 0

6 + n = 0 ( subtract 6 from both sides )

n = - 6

You might be interested in

Stephanie has $152 in the bank she with drawl $20 then she deposits $84 write an addition expression to represent this situation

Paraphin [41]

152+(-20)+84=

236+(-20)=

236-20=

216

3 0

3 years ago

Write an equation for the line in slope-intercept form

quester [9]

Answer:

y = -3/1x + 2

Step-by-step explanation:

1. Find the slope

The points I will use are (-1,5) and (0,2), where x1 = -1, y1 = 5, x2 =0, and y2 =2.

y2-y1/x2-x1

2-5/0-(-1) = -3/1

2. Find the y-intercepy

y = mx + b

You can use any x or y point. I'll use (-1,5)

m= slope, which is -3/1

5= -3/1(-1) +b

5= 3 + b

Subtract 3 from 5 and 3 to get 2=b.

3. Rewrite in slope-intercept form

y = -3/1x + 2

4 0

3 years ago

Find the following information using the given image.

Zigmanuir [339]

Answer:2.9

Step-by-step explanation:

8 0

2 years ago

How to I write a one solution function??

tatyana61 [14]

Here’s an example on how to write one.

6 0

1 year ago

What are two other negative integers that have the same sum as -2 and -5

Anestetic [448]

Answer:

-3,-4

-6,-1

Step-by-step explanation:

-3 + -4

-6 + -1

7 0

2 years ago