Multiplying and Combining Algebraic Expressions

The video tutorial explains how to multiply a polynomial by using the distributive property. It begins by setting up the multiplication of the polynomial 10a - 3 with 5a squared + 7a - 1. The process involves distributing each term of the polynomial and then simplifying the expression by combining like terms. The tutorial concludes with a final solution, demonstrating the step-by-step approach to solving polynomial multiplication.

What is the first step in multiplying a binomial by a trinomial?

• Divide the terms

• Subtract the constants

• Use the distributive property

• Add the coefficients

When using the distributive property, what do you multiply the trinomial by first?

• The entire binomial

• The first term of the binomial

• The constant term

• The second term of the binomial

What is the result of multiplying 10a by 5a squared?

• 15a cubed

• 50a squared

• 50a cubed

• 15a squared

What is the result of multiplying 10a by -1?

• -10

• 10a

• -10a

• 10

What is the result of multiplying -3 by 5a squared?

• 5a squared

• -5a squared

• 15a squared

• -15a squared

What is the result of multiplying -3 by -1?

• -1

• -3

• 3

• 1

How do you combine 70a squared and -15a squared?

• Add them to get 85a squared

• Divide them to get 4.67a squared

• Subtract them to get 55a squared

• Multiply them to get 105a squared

What is the result of combining -10a and -21a?

• -11a

• -31a

• 31a

• 11a

What is the final constant term in the expression?

• 3

• 2

• 0

• 1