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Grade 10
Develop algebraic reasoning and number sense
7. Multiply polynomial expressions concretely, pictorially, and symbolically
7.6 Multiplying polynomial by polynomial
Multiplying Polynomial by Polynomial
Multiply every term in one polynomial by every term in the other, then combine like terms.
What You'll Learn
Multiply every term in the first polynomial by every term in the second.
FOIL (First, Outer, Inner, Last) names the four products for two binomials.
After multiplying, combine like terms to simplify.
The same idea extends to a binomial times a trinomial or larger.
Example: (x+2)(x+3) = x squared + 5x + 6.
What You'll Practice
1
Multiplying binomials by trinomials using distribution
2
Expanding trinomial by trinomial products
3
Simplifying expressions with powers like (a - b)³ and (a - b)
4
Multiplying polynomials with coefficients in front of brackets
5
Collecting like terms in multi-variable polynomial products
Why This Matters
Multiplying polynomials is essential for solving quadratic equations, graphing parabolas, and working with algebraic models in calculus and physics. This skill builds your ability to manipulate complex expressions you'll encounter throughout advanced math courses.
Before You Start — Make Sure You Can:
This Unit Includes
6 Video lessons
Practice exercises
Learning resources
Skills
Polynomials
Distribution
Like Terms
Binomials
Trinomials
Exponent Rules
Algebraic Expansion
Simplification
MB Curriculum Aligned