Answer:
[tex](3x+1)(x+3)[/tex]
Step-by-step explanation:
We have been given an expression [tex]3x^2+10x+3[/tex]. 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.
[tex]3x^2+9x+1x+3[/tex]
Make two groups:
[tex](3x^2+9x)+(1x+3)[/tex]
[tex]3x(x+3)+1(x+3)[/tex]
[tex](3x+1)(x+3)[/tex]
Therefore, our required factors are [tex](3x+1)(x+3)[/tex] .
