12x^2 −75=3(2x+?)(2x−5) What is the missing term in the factorization
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the numerical expression:
12x^2 −75=3(2x+?)(2x−5)
Determine the missing term.
Solution:
In order to determine the missing term, we must look for the constant in the given. Since the constant is 75, we must determine the factors of -75. It is already given than one factor is -5 from (2x - 5). Divide -75 by -5 in order to get the other factor.
= -75/-5
= 15
Noticed that the missing term has an expression that is factored by 3, 3(2x + ?) meaning we divide again 15 by 3, to get the missing term.
= 15/3
= 5
The missing term to complete the expression is 5.