The factor of the polynomial is be (x+12)
We have given equation is
[tex]x^2+8x-48[/tex]
The middle number is 8 and the last number is -48.
Factoring means we want something like
[tex](x-a)and (x+b)[/tex]
we have to find the value of a and b
The numbers are (12) and -4
addition=12+(-4)=12-4=8
12(-4)=-48
Therefore we have,
[tex]x^2+8x-48\\x^2+12x-4x-48\\\\x(x+12)-4(x+12)\\(x-4)(x+12)[/tex]
Therefore the given equation has two factor that are (x-4) and (x+12)
Since (x-4) is not in option therefore the answer would be (x+12)
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Answer:
The factor of the polynomial is be (x+12)
Step-by-step explanation:
