Polynomials

Practice 5 items →

Standard form is decreasing degree; multiplication is the Math 4 area model with letters. Students classify, add, subtract, and multiply polynomials, and use the special products (a ± b)² and a² − b².

Specification · for a parent or teacher

Part no.: polynomial-operations
Course: High School Math 1 · Unit 3
Realm: Structures
Difficulty: 3 of 4 — Grade 6–7 core. Multi-step, first symbolic work.
Qty: 5 items

Part no. is the node's id; the realm is the kind of math; qty is how many practice items it carries.

Students can

classify monomial/binomial/trinomial; add, subtract; multiply (FOIL, box); special products $(a\pm b)^2$ , $a^2-b^2$ .

Ready when

$(2x-3)(x+5)$ expanded two ways, and $(x+4)^2$ expanded, not squared termwise.

Formulas

Square of a binomial

(a \pm b)^2 = a^2 \pm 2ab + b^2

Difference of squares

(a-b)(a+b) = a^2 - b^2

Watch for

$(x+5)^2=x^2+25$ ; subtracting $-(x^2-3)$ as $-x^2-3$ .

Before · requires

Algebraic expressions (Math 1)algebraic-expressions-m1 · Math 1
Algebraic manipulationexpand-factor-7 · Math 7
Exponentslaws-of-exponents · Math 1

After · used by

Factoring polynomialsfactoring-polynomials · Math 1

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