Simplifying Expressions and Multiplying Polynomials

The video tutorial explains how to multiply polynomials by distributing each term of a binomial into a trinomial. It provides two examples, demonstrating the process of distributing terms, calculating products, and combining like terms to simplify the expression. The tutorial emphasizes the consistent result of six products when multiplying a binomial by a trinomial and guides viewers through the simplification process to achieve the final product.

What is the first step in multiplying two polynomials?

• Add the coefficients of like terms

• Subtract the terms of the second polynomial from the first

• Multiply the coefficients directly

• Distribute each term of the first polynomial into the second

When multiplying a binomial by a trinomial, how many products are formed?

• Four

• Three

• Five

• Six

What is the result of multiplying x by x squared?

• 2x cubed

• 2x squared

• x cubed

• x squared

How do you simplify the expression 6x squared minus 2x squared?

• 0

• 4x squared

• 2x squared

• 8x squared

What is the simplified form of negative 7x minus 12x?

• 19x

• 5x

• -19x

• -5x

In the second example, what is the result of multiplying 2x by 5x squared?

• 7x cubed

• 15x cubed

• 10x cubed

• 10x squared

What is the result of multiplying 2x by negative 4x?

• 8x

• -8x squared

• 8x squared

• -8x

What is the simplified form of negative 8x squared plus 15x squared?

• 3x squared

• 7x squared

• 23x squared

• 0

What is the result of 18x minus 12x?

• 12x

• 6x

• 30x

• 0

What is the final simplified product of the second example?

• 10x cubed plus 7x squared plus 6x plus 27

• 10x cubed plus 8x squared plus 6x plus 27

• 10x cubed plus 7x squared plus 5x plus 27

• 10x cubed plus 7x squared plus 6x plus 14