In this Grade 8 lesson from Big Ideas Math Algebra 2, Chapter 4, students learn how to add, subtract, and multiply polynomials by combining like terms and applying the distributive property. The lesson also covers using Pascal's Triangle to expand binomials and introduces the concept of cubing a binomial using patterns for coefficients and exponents. Students practice both vertical and horizontal formats for polynomial operations, building fluency with standard form and closed sets.
Section 1
Add and Subtract Polynomials
To add or subtract polynomials, combine like terms. Like terms are monomials that have the same variables with the same exponents. The Commutative Property allows rearranging terms to group like terms together. When subtracting polynomials, be careful to distribute the negative sign to every term in the polynomial being subtracted.
Section 2
Products of polynomials
To find the product of two polynomials, multiply each term of the first polynomial by each term of the second polynomial, then combine any like terms.
If a product contains a monomial factor, it is a good idea to multiply the polynomial factors together first, and save the monomial factor for last.
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Section 1
Add and Subtract Polynomials
To add or subtract polynomials, combine like terms. Like terms are monomials that have the same variables with the same exponents. The Commutative Property allows rearranging terms to group like terms together. When subtracting polynomials, be careful to distribute the negative sign to every term in the polynomial being subtracted.
Section 2
Products of polynomials
To find the product of two polynomials, multiply each term of the first polynomial by each term of the second polynomial, then combine any like terms.
If a product contains a monomial factor, it is a good idea to multiply the polynomial factors together first, and save the monomial factor for last.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter