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Answer :

Answer:

option-D

None of the above

Step-by-step explanation:

we are given

[tex]x^2+20x+96[/tex]

we can find factors of 96

[tex]96=12\times 8[/tex]

[tex]20=12+8[/tex]

[tex]x^2+20x+96=x^2+(12+8)x+12\times 8[/tex]

now, we can use formula

[tex]x^2+(a+b)x+ab=(x+a)(x+b)[/tex]

we get

[tex]x^2+20x+96=(x+12)(x+8)[/tex]

We can see that none of the factor matches

so, None of these

alinakincsem

Answer:

D) None of the above

Step-by-step explanation:

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

[tex]x^2 + 20x + 96[/tex]

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

[tex]x^2 + 20x + 96[/tex]

=[tex]x^2 + 12x +8x + 96[/tex]

=[tex]x(x+12)+8(x+12)[/tex]

=[tex](x+12)(x+8)[/tex]

So the two factors of the given quadratic expression [tex]x^2 + 20x + 96[/tex] 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.

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