Question

What is the factored form of 3x2 − 5x − 2? Pls and thanks

Answer 1

Factor by grouping.

(x - 2)(3x + 1)

Answer 2

Solution

Factor
`3x^2-5x-2`

1. Multiply 3 by -2, which is -6.

2. Ask: Which two numbers add up to -5 and multiply to -6?

3. Answer: 1 and -6

4. Rewrite
`-5x` as the sum of x and
`-6x`:


`3x^2 + x-6x-2`

Factor out common terms in the first two terms, then in the last two terms.


`x(3x+1)-2(3x+1)`

Factor out the common term
`3x+1`


`(3x+1)(x-2)`