Question

factor x³+3x²+7x+10 answer​

Answer 1

Answer:

(x+2)(x^2+x+5)

Step-by-step explanation:

First, find all factors of the constant term 10.

= 1,2,5,10

Substitute 1 into x. Since the result is not 0, x-1 is not a factor.

(1)^3+3(1)^2 + 7(1) +10 = 21

Substitute -1 into x. Since the result is not 0, x+1 is not a factor.

(-1)^3+3(-1)^2 + 7(-1) +10 = 5

Substitute 2 into x. Since the result is not 0, x-2 is not a factor.

(2)^3+3(2)^2 + 7(2) +10 = 44

Substitute -2 into x. Since the result is 0, x+2 is a factor.

(-2)^3+3(-2)^2 + 7(-2) +10 = 0

Now, we need to apply the polynomial division.

We need to divide x³+3x²+7x+10 by x+2

I've attached the division steps file below.

We need to rewrite the expression = x^2+x+5

So, the final answer would be (x+2)(x^2+x+5)