Complete the factorization shown. 2x2 − x − 6 = (2x + )(x − )

2x^2 − x − 6 = (2x + 3)(x −2 )

cause
 (2x + 3)(x −2 )
= 2x^2 − 3x  + 2x - 6
= 2x^2 − x -6

answer
 (2x + 3)(x −2 )

ANSWER

The complete factorization is



EXPLANATION

The given expression is



This is a quadratic trinomial with,





Two factors of -12 that adds up to -1 are



We split the middle term to obtain,



We factor to get,



We factor further to get,

31 is prime. and it’s prime factorization is just 31.