Question

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

Answer 1

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