Question

3x2 + 17x + 10 how would I factor this completely?

Answer 1

(3x+2)(x+5)

Answer 2

3*10=30
2+15=17
2*15=30
write 17x=2x+15x and then make factors.

Answer 3

using the a-c method so you find factors of a*c that add up to b:
\[3x^2+15x+2x+10\]
now factor by grouping so:
\[3x(x+5)+2(x+5)\]
\[(3x+2)(x+5)\]