Multiplying Monomials and Binomials

Learn and apply multiplying monomials and binomials using equations, examples, and interpretation.

Lesson 3 of 53 parts Practice Flashcards

1/3

Monomial Distribution

Objective: Explain and use monomial distribution in an Algebra 1 problem.

Multiply a monomial by each polynomial term and add exponents of matching variable bases. It becomes x².

Worked examples

Try itExample 1.1: Expand 3x(5x+16). What is the coefficient of x²?Show answer

15. Multiply the coefficient outside by that of the x term inside. The answer is 15.

Swipe sideways to move between sections

Objective: Explain and use monomial distribution in an Algebra 1 problem.

Multiply a monomial by each polynomial term and add exponents of matching variable bases. It becomes x².

Worked examples

Try itExample 1.1: Expand 3x(5x+16). What is the coefficient of x²?Show answer

15. Multiply the coefficient outside by that of the x term inside. The answer is 15.

Objective: Explain and use binomial products in an Algebra 1 problem.

Multiply each term of the first binomial by each term of the second, then combine like terms. It comes from the two cross-products.

Worked examples

Try itExample 2.1: Expand (x+4)(x+8). What is the coefficient of x?Show answer

12. The two cross-products contribute to the x coefficient. The answer is 12.

Objective: Explain and use area model in an Algebra 1 problem.

A rectangle split into smaller parts represents the partial products in (a+b)(c+d). The sum of all partial-product areas.

Worked examples

Try itExample 3.1: Expand (x+2)(x+11). What is the coefficient of x?Show answer

13. The two cross-products contribute to the x coefficient. The answer is 13.

You finished the reading!

Lock it in with a few practice questions, then move on to the next lesson.