Question
Which of the following is a factor of x2−6x−16?
Answer: Option B
:
B
The given algebraic equation is x2−6x−16.
We can factorize this using the following identity using,
(x+a)(x+b)=x2+(a+b)x+ab
So, we have to first find the factors of 16.
8×2=4×4=16
We can see that, 8−2=6.
So, we split the expression as shown
x2+2x−8x−16
=x(x+2)−8(x+2)
=(x+2)(x−8)
Hence x−8 is a factor of the given expression.
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:
B
The given algebraic equation is x2−6x−16.
We can factorize this using the following identity using,
(x+a)(x+b)=x2+(a+b)x+ab
So, we have to first find the factors of 16.
8×2=4×4=16
We can see that, 8−2=6.
So, we split the expression as shown
x2+2x−8x−16
=x(x+2)−8(x+2)
=(x+2)(x−8)
Hence x−8 is a factor of the given expression.
Was this answer helpful ?
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