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.

Degree of polynomial (highest degree) =4

Maximum possible terms =9

Number of terms in the product = 5

Step-by-step explanation:

A trinomial is a polynomial with 3 terms.

The given product of trinomial:

By using distributive property: a(b+c+d)= ab+ac+ad

Maximum possible terms =9

Combine like terms

Hence,

Degree of polynomial (highest degree) =4

Number of terms = 5

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