Question

Which of the binomials below is a factor of this trinomial ?
X^2-5x-14

A.x-1
B.x-14
C.x-2
D.x-7

Answer 1

\[x^2 - 5x - 14\]
Find 2 numbers with sum of -5 and when multiplied = - 14
i gues it would be -7 and 2
\[(x^2 - 7x ) (2x - 14)\]
Now factor those by groups obviously
GCF of the 1st binomial is x so x(x - 7)
GCF of the 2nd binomial is 2 so 2(x - 7)

The factored expression is \[(x + 2 ) ( x - 7)\]