Question

Which of the binomials below is a factor of this trinomial?

x ²-14x+ 24
O A. x+4
O B. x2 +6
O c. x + 6
O D. x-12

Answer 1

D. x - 12 is a factor of the given trinomial.

Explanation:

x² - 14x + 24

= x² - ( 12 +2 ) x + 24

= x² - 12x - 2x + 24

= x ( x - 12) - 2( x - 12)

= ( x - 12)( x - 2)