Question

Factor each Polynomial 3x^2 + 17x + 10

Answer 1

$3x^2+17x+10\\\\17x=15x+2x\\10=5\cdot2\\\\3x^2+17x+10=3x^2+15x+2x+10\\\\=3x\cdot x+3x\cdot5+2\cdot x+2\cdot5=3x(x+5)+2(x+5)\\\\=\huge\boxed{(x+5)(3x+2)}$