Understanding Polynomial Products

The video tutorial explains how to find products of algebraic expressions and arrange terms in descending order. It covers multiplying a single term by a binomial, multiplying two binomials, squaring a binomial, and multiplying a binomial by a trinomial. The tutorial emphasizes the use of distribution and combining like terms to simplify expressions.

What is the result of distributing -4 in the expression -4(4x + 7)?

• 16x - 28

• -16x + 28

• -16x - 28

• 16x + 28

When multiplying two binomials, how many products do you get?

• Four

• Three

• Five

• Two

What is the simplified form of (2x - 3)(x + 7)?

• 2x^2 - x - 21

• 2x^2 + x - 21

• 2x^2 - 14x + 21

• 2x^2 + 14x - 21

What is the first step in expanding (3x - 5)^2?

• Multiply -5 by -5

• Multiply 3x by 3x

• Multiply -5 by 3x

• Multiply 3x by -5

What is the result of combining like terms in the expression 9x^2 - 15x - 15x + 25?

• 9x^2 - 30x - 25

• 9x^2 - 15x - 25

• 9x^2 - 30x + 25

• 9x^2 - 15x + 25

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

• Seven

• Four

• Five

• Six

What is the result of 2x(-3x^2 - 2x + 3)?

• -6x^3 - 4x^2 + 6x

• -6x^3 + 4x^2 - 6x

• 6x^3 - 4x^2 + 6x

• 6x^3 + 4x^2 - 6x

What is the final simplified form of the expression after combining like terms: -6x^3 - 13x^2 + 0x + 9?

• -6x^3 - 13x^2 + 9

• -6x^3 + 13x^2 + 9

• 6x^3 - 13x^2 + 9

• 6x^3 + 13x^2 + 9

What is the degree of the term -6x^3 in the expression -6x^3 - 13x^2 + 9?

• One

• Two

• Zero

• Three

In the expression -6x^3 - 13x^2 + 9, what happens to the x terms after combining?

• They remain unchanged

• They cancel each other out

• They add up to a positive value

• They add up to a negative value