Question

Which of the following is a factor of x2 + 20x + 96?

A) x + 4
B) x + 6
C) x + 3
D) None of the above

Answer 1

D) None of the above

Explanation:

We are given the following expression and we are to factorize it:

`x^2 + 20x + 96`

Finding factors of 96 such that they give a product of 96 when they are multiplied and 20 when they are added:

`x^2 + 20x + 96`

=
`x^2 + 12x +8x + 96`

=
`x(x+12)+8(x+12)`

=
`(x+12)(x+8)`

So the two factors of the given quadratic expression
`x^2 + 20x + 96` are (x + 12) and (x + 8). But these are not present in the given answer options so the correct option is D) None of the above.

Answer 2

option-D

None of the above

Explanation:

we are given

`x^2+20x+96`

we can find factors of 96

`96=12* 8`

`20=12+8`

`x^2+20x+96=x^2+(12+8)x+12* 8`

now, we can use formula

`x^2+(a+b)x+ab=(x+a)(x+b)`

we get

`x^2+20x+96=(x+12)(x+8)`

We can see that none of the factor matches

so, None of these