Find the product using the distributive property classify/name your final answer (x+5)(3x^2-2x+1)

Distribute sum groups
x(3{x}^{2}-2x+1)+5(3{x}^{2}-2x+1)x(3x2−2x+1)+5(3x2−2x+1)
2 Distribute
3{x}^{3}-2{x}^{2}+x+5(3{x}^{2}-2x+1)3x3−2x2+x+5(3x2−2x+1)
3 Distribute
3{x}^{3}-2{x}^{2}+x+15{x}^{2}-10x+53x3−2x2+x+15x2−10x+5
4 Collect like terms
3{x}^{3}+(-2{x}^{2}+15{x}^{2})+(x-10x)+53x3+(−2x2+15x2)+(x−10x)+5
5 Simplify
3{x}^{3}+13{x}^{2}-9x+53x3+13x2−9x+5