Question

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

Answer 1

Answer:

option-D

None of the above

Step-by-step explanation:

we are given

$x^2+20x+96$

we can find factors of 96

$96=12\times 8$

$20=12+8$

$x^2+20x+96=x^2+(12+8)x+12\times 8$

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

Answer 2

Answer:

D) None of the above

Step-by-step 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.