(x^4+11x^3+33x^2+24x+32)(x+6)

Question

help

 

Answer 1

Daniela, 

Break the problem into two different multiplication problems:

(x⁴+11x³+33x²+24x+32) * x and (x⁴+11x³+33x²+24x+32) * 6

multiplying by x is easy, just increase the power of each member of the polynomial.  Arrange the two polynomials underneath each other to make addition of like terms easier.

(x⁴+11x³+33x²+24x+32) * x    = x⁵ + 11x⁴ + 33x³ + 24x² +  32x

(x⁴+11x³+33x²+24x+32) * x    =         6x⁴ + 66x³ +198x² +144x + 192

(x⁴+11x³+33x²+24x+32)(x+6)  = x⁵ + (11+6)x⁴ + (33+66)x³ + (24+198)x² + (32+144)x +192

Complete the addition and you'll have your answer!