Question

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.

Answer 1

Sample Response: To determine the degree of the product of the given trinomials, you would multiply the term with the highest degree of each trinomial together. Both trinomials are degree 2, and when you multiply x2 by x2, you add the exponents to get x4. Thus, the degree of the product is 4. If the product is degree 4, and there is only one variable, the maximum number of terms is 5. There can be an x4 term, an x3 term, an x2 term, an x term, and a constant term.

Step-by-step explanation:

Answer 2

this question is not that much hard
you have to think about it . it has the same rules as shown in the question
so,
lets come to the question
we have (x2+x+2)*(x2-2x+3)
we just have to multiply both of these equations
after multipling we get
x4-x3+3x2-x+6