How do you factor the expression #q^2-11q+24#?

1 Answer
Jan 4, 2016

Answer:

(q - 3 )(q - 8)

Explanation:

to factor this trinomial you first must find 2 factors of 24 which also add together to give - 11
Consider pairs of factors of 24 : ( 1 , 24 ) , ( 2 , 12 ) , ( 3 , 8 ) ,( 4 , 6 ) , (- 1 , - 24 ) , ( - 2 , -12 ) , ( - 3 , - 8 ) , ( -4 , - 6 )
The 2 factors therefore are - 3 and - 8

# q^2 - 11q + 24 = (q - 3 )(q - 8 )