How to Multiply Monomials by Polynomials

Miacademy & MiaPrep Learning Channel

This instructional video provides a clear, step-by-step guide on how to multiply monomials by polynomials, a fundamental skill in Algebra. The host, Randy, uses digital whiteboard demonstrations to visually break down the process of using the distributive property to multiply a single term by expressions containing multiple terms. The video specifically covers multiplying a monomial by a binomial and a monomial by a trinomial. Key algebraic concepts explored include the product rule for exponents (adding exponents when multiplying like bases), multiplying coefficients (including negative integers), and understanding "invisible" exponents like zero and one. The video emphasizes the importance of writing final answers in standard form, where terms are ordered by descending degree. For educators, this resource serves as an excellent direct instruction tool or review for Algebra 1 students. It visualizes the distribution process using arrows, which helps students track which terms are being multiplied. The clear narration regarding exponent rules makes it valuable for addressing common student errors, such as multiplying exponents instead of adding them.