Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and maximum possible number of terms for the product of these trinomials: (x2 + x + 2) (x2 - 2x + 3). Explain how you arrived at your answer.

Question

Nicole Chapman

Mathematics

1 November, 12:23

Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and maximum possible number of terms for the product of these trinomials: (x2 + x + 2) (x2 - 2x + 3). Explain how you arrived at your answer.

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Byron Robinson · Answer 1

Hello,

Let P (x) the first polynomial, degree P (x) = p

Q (x) the second degree Q (x) =

degree (P (x) * Q (x)) = p*q

Max terms: p*q+1

(x²+x+2) (x²-2x+3) = x^4+2x^3+3x²-x+6