Question

Which of the following is one of the factors of 2x^2 – 2x – 60?

Answers: x
All of the above
x – 5
x – 6

Answer 1

2x^(2)-2x-60

Factor out the GCF of 2 from each term in the polynomial.
2(x^(2))+2(-x)+2(-30)

Factor out the GCF of 2 from 2x^(2)-2x-60.
2(x^(2)-x-30)

For a polynomial of the form x^(2)+bx+c, find two factors of c (-30) that add up to b (-1). In this problem 5*-6=-30 and 5-6=-1, so insert 5 as the right hand term of one factor and -6 as the right-hand term of the other factor.
2(x+5)(x-6)

Answer 2

all of the above got it :)