Question

6x^2+60x+144 factor and is the first polynomial prime

Answer 1

Explanation:

`6x^2+60x+144\\\\6(x^2+10x+24)`

You are looking for two numbers that add to 10 and multiply to 24:

6 + 4 = 10

6 * 4 = 24

so
`x^2 + 10x + 24 = (x+6)(6+4)`

factored:
`6(x+6)(x+4)`