Question

Factor the trinomial x^2- 5x- 36 Which of the following is one of the factors?

Answer 1

(x-9) (x+4)

Explanation:

x^2- 5x- 36

What two numbers multiply to -36 and add to -5

-9*4 = -36

-9+4 = -5

(x-9) (x+4)

Answer 2

Final factor is (x-9)(x+4)

Explanation:

Given expression is
`x^2- 5x- 36`.

Now we need to factor that expression

`x^2- 5x- 36`

Find two numbers whose product is -36 and sum is -5.

Two such numbers oare -9 and +4. So we get:

`=x^2- 9x+4x- 36`

`=x(x-9)+4(x-9)`

`=(x-9)(x+4)`

Hence final factor is (x-9)(x+4)