Question

What are the factors of 3x2 + 10x + 3? (3x − 1)(x − 3) (3x − 3)(x − 1) (3x + 1)(x + 3) (3x + 3)(x + 1)

Answer 1

The factors of 3x^2+10x+3 are (3x+1)(x+3)

Answer 2

`(3x+1)(x+3)`

Explanation:

We have been given an expression
`3x^2+10x+3`. We are asked to factor the given expression.

We will factor our given expression by splitting the middle term. We need two numbers which add up-to 10 and whose product is 9.

We know that 1 and 9 are such numbers.

`3x^2+9x+1x+3`

Make two groups:

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

`3x(x+3)+1(x+3)`

`(3x+1)(x+3)`

Therefore, our required factors are
`(3x+1)(x+3)` .