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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!

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