Question

Factor completely 3x2 + 9x − 3.

3(x2 + 3)

3(x2 + 3x − 1)

3x(x2 + 3x − 1)

Prime

Answer 1

Factor completely: 3x2 + 9x − 3

3x2 + 9x − 3 (a 3 can be divided from each number)
3(x2+3x-1)

can x2+3x-1 be factored out anymore? no

3(x2+3x-1) is the answer

Answer 2

Option (2) is correct choice.

Explanation:

Given polynomial
`3x^2+9x-3`

We have factorize the given polynomial and choose the correct from options given.

Factor are the smallest forms a given number is broken such that the product of factors gives back the number we factorized.

Here,
`3x^2+9x-3`

First taking 3 common from whole expression.

`3x^2+9x-3=3(x^2+3x-1)`

Thus, option (2) is correct choice.