Question

Factor completely 2x2 + 2x − 24.

2(x − 3)(x + 4)
(2x − 6)(x + 4)
(2x − 3)(x + 8)
2(x − 4)(x + 6)

Answer 1

The equation is ax^2+bx+c
When factoring you always have to ask what multiplies to c but adds up to b?

The factors of -24 are: -24 and 1, -12 and 2, -8 and 3, -6 and 4, -4 and 6, -3 an 8, -2 and 12, -1 and 24

Answer 2

Which of those factors when added gives you a sum of 2?

Answer 3

The degree of this polynomial is 2 which means there will be 2 parenthesis

Answer 4

When you figure out which of the factors add up to 2 plug them into this:
(x+_)(x+_)

Answer 5

But remember one of the factors is a negative so you will have to change one of the signs to subtraction