Question

Select the correct answer

What are the real zeros of the function g(x) = x^3 + 2x^2 - x - 2?
A. 1,-1,2
B. 1,-1, -2 c. 1,-1
D. 2, -2, 1

Answer 1

B. 1.-1,-2

Explanation:

just did this one

Answer 2

B. 1.-1,-2

Explanation:

`g(x) = x ^(3) + 2 {x}^(2) - x - 2`

Substitute g(x)=0

`0 = {x}^(3) + 2 {x}^(2) - x - 2`

Move the expression to the left

`0 - {x}^(3) - 2 {x}^(2) + x + 2 = 0`

Factor out -x^2 from the expression

`- {x}^(2) * (x + 2) + x + 2 = 0`

Factor out (x+2) from the expression

`(x + 2) * ({x}^(2) + 1) = 0`

When the product of the factor equals 0, at least one factor is 0

`x + 2 = 0`

`- {x}^(2)+ 1 > = 0`

Solve for x

`x = - 2 \\ x = - 1\\ x = 1`