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Which is a factor of x^2-9x+14?
A. X-9
B. X-2
C. X+5
D. X+7

1 Answer

5 votes

Answer : B

x^2-9x+14

Lets factor
x^2-9x+14

We find out two factors whose product is +14 and sum is -9

Two factors are -2 and -7, we split the middle term -9x using -2 and -7


x^2-2x-7x+14

Group first two terms and last two terms

Then factor out GCF from each term


(x^2-2x)(-7x+14)


x(x-2)-7(x-2)


(x-2)(x-7)

so x-2 is one of the factor

User Javier Brea
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