Question

Select the two binomials that are factors of this trinomial x^2+4x-32

Answer 1

Steps:

So to factor this expression, I'm going to be factoring by grouping. Firstly, what two terms have a sum of 4x and a product of -32x²? That's going to be 8x and -4x. Replace 4x with 8x - 4x:

`x^2+8x-4x-32`

Now, factor x² + 8x and -4x - 32 separately. Make sure that they have the same quantity on the inside of the parentheses:

`x(x+8)-4(x+8)`

Now you can rewrite the expression as:

`(x-4)(x+8)`

Answer:

In short, the two binomial factors are (x - 4) and (x + 8).

Answer 2

x-4 and x+8

Explanation:

Factoring a quadratic equation of the form x^2+bx+c:

Divide b into two numbers p and q, so that p+q = b and p*q = c

8 + (-4) = 4 = b

8 * (-4) = -32 = c

x^2+8x-4x-32

Factor by grouping

(x^2+8x)+ (-4x-32) =

x*(x+8) + -4* (x+8) = (x-4)(x+8)