Question

Factor the trinomial below

X^2-12x+35

O A. (x - 5)(x - 7)
• B. (x+ 5) (x + 7)
O C.(x+ 5)(X-7)
O D. (x - 5) (x + 7)

Answer 1

A

Explanation:

x² - 12x + 35

consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)

the factors are - 5 and - 7 , since

- 5 × - 7 = + 35 and - 5 - 7 = - 12 , then

x² - 12x + 35 = (x - 5)(x - 7) ← in factored form