Mastering Multiplication of Binomials and Trinomials

The video tutorial explains how to multiply polynomials by distributing each term of the first polynomial into the second. It provides two examples: a binomial times a trinomial. In each example, the process involves distributing terms, calculating products, and combining like terms to simplify the expression. The tutorial emphasizes the consistent pattern of obtaining six products when multiplying a binomial by a trinomial and demonstrates the simplification process to reach the final product.

How many products are generated when multiplying a binomial by a trinomial?

• 3 products

• 6 products

• 9 products

• 12 products

What is the result of multiplying x by x squared?

• x

• 2x squared

• x cubed

• x squared

What is the simplified form of the polynomial after combining like terms in the first example?

• x cubed + 4x squared - 7x + 14

• x squared - 19x + 14

• x cubed + 6x squared - 19x + 14

• x cubed + 4x squared - 19x + 14

What is the coefficient of x squared in the simplified form of the first polynomial example?

• 2

• 6

• 4

• 3

What is the coefficient of x in the simplified form of the first polynomial example?

• -7

• 14

• -19

• 12

What is the result of multiplying 2x by 5x squared?

• 10x squared

• 10x cubed

• 5x cubed

• 7x cubed

What is the result of the product of 3 and 9 in the second example?

• 12

• 27

• 18

• 21

What is the simplified form of the polynomial after combining like terms in the second example?

• 10x cubed + 7x squared + 6x + 27

• 10x cubed + 8x squared + 6x + 27

• 7x cubed + 7x squared + 6x + 27

• 10x cubed + 7x squared + 18x + 27

How many terms are there in the final expression of the second polynomial example?

• 3 terms

• 6 terms

• 4 terms

• 5 terms

What is the constant term in the final expression of the second polynomial example?

• 27

• 18

• 6

• 12