Factor the following expression.

x2 + 9x + 14

x2 + 9x + 14 =

Answer:x = 7

x = 2

Step-by-step explanation:

The first term is, x2 its coefficient is 1.

The middle term is, - 9x its coefficient is - 9.

The last term, "the constant", is + 14

Step-1 : Multiply the coefficient of the first term by the constant 1 • 14 = 14

Step-2 : Find two factors of 14 whose sum equals the coefficient of the middle term, which is - 9.

-14 + - 1 = - 15

-7 + - 2 = - 9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 7 and - 2

x2 - 7x - 2x - 14

Step-4 : Add up the first 2 terms, pulling out like factors:

x • (x-7)

Add up the last 2 terms, pulling out common factors:

2 • (x-7)

Step-5 : Add up the four terms of step 4:

(x-2) • (x-7)

Which is the desired factorization