help
help
Daniela,
Break the problem into two different multiplication problems:
(x^{4}+11x^{3}+33x^{2}+24x+32) * x and (x^{4}+11x^{3}+33x^{2}+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.
(x^{4}+11x^{3}+33x^{2}+24x+32) * x = x^{5 }+ 11x^{4 }+ 33x^{3 }+ 24x^{2 }+ 32x
(x^{4}+11x^{3}+33x^{2}+24x+32) * x = 6x^{4 }+ 66x^{3 }+198x^{2 }+144x + 192
(x^{4}+11x^{3}+33x^{2}+24x+32)(x+6) = x^{5} + (11+6)x^{4} + (33+66)x^{3} + (24+198)x^{2} + (32+144)x +192
Complete the addition and you'll have your answer!