Question

Factor the trinomial below.

Answer 1

Option C is your answer. 

Answer 2

Hi there!

The answer is C.
${x}^{2} - 14x + 45 = (x - 9)(x - 5)$

To find our answer we are looking for 2 integers. The sum of the integers must be -14 (since it must be equal to the number before the variable x). The product of both integers must be 45. Now we can conclude we are looking for the numbers -9 and -5.

$- 9 + - 5 = - 9 - 5 = - 14 \\ - 9 \times - 5 = 45$

(Remember that multiplying 2 negatives makes you end up with a positive.)

~ Hope this helps you!