Multiplying Polynomials
Practice Multiplying Polynomials in Grade 10 algebra: apply distribution rules to multiply and simplify expressions step by step with Saxon Algebra 2.
Key Concepts
New Concept To multiply two polynomials, each term of the first polynomial is multiplied by each term of the other polynomial.
What’s next Next, you’ll learn the FOIL method for multiplying binomials and memorize special product patterns to increase your speed and accuracy.
Common Questions
How do you multiply two polynomials in Grade 10 algebra?
Distribute every term in the first polynomial to every term in the second. For (x + 2)(x² - 3x + 5): multiply x by each term, then 2 by each term, giving x³ - 3x² + 5x + 2x² - 6x + 10 = x³ - x² - x + 10.
What is the most common mistake when multiplying polynomials?
Forgetting to multiply every term pair. Draw arrows from each term in the first polynomial to each term in the second to track all pairs and avoid missing any multiplication.
How do you combine like terms after multiplying polynomials?
Group terms with identical variables and exponents. In x³ - 3x² + 2x² + 5x - 6x + 10, combine the x² terms (-3x² + 2x² = -x²) and x terms (5x - 6x = -x) to get x³ - x² - x + 10.