Answer:
The factored form of given expression is (x+3)(5x+2).
Step-by-step explanation:
The given expression is
[tex]P(x)=5x^2+17x+6[/tex]
Middle term can be written as 15x+2x.
[tex]P(x)=5x^2+15x+2x+6[/tex]
[tex]P(x)=5x(x+3)+2(x+3)[/tex]
Take out the common factors.
[tex]P(x)=(x+3)(5x+2)[/tex]
The factors of given expression are (x+3) and (5x+2).
Therefore the factored form of given expression is (x+3)(5x+2).