Answer with step-by-step explanation:
f(x)=3x^2+17x+10
For a polynomial of the form ax^2+bx+c, rewrite the middle term as a sum of two terms whose product is a · c = 3 · 10 = 30 and whose sum is b=17.
f(x)=3x^2+2x+15x+10
Factor out the greatest common factor from each group.
f(x)=x(3x+2)+5(3x+2)
Factor the polynomial by factoring out the gcf, 3x+2
f(x)=(3x+2)(x+5)
