Unit 3 · 4 lessons

Quadratic Expressions

Multiply binomials and simplify second-degree expressions, then run the process backwards: factor out common factors, group, factor trinomials, and spot perfect squares and differences of squares.

45 practice questions
32 flashcards

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Lessons

1Expanding and SimplifyingMultiply a binomial by a binomial with the distributive property and the area model, square a binomial without dropping the middle term, and simplify expressions that combine several products.11 questions
2Common Factors and GroupingFactoring undoes expanding. Find the greatest common factor of a polynomial and take it out, factor out a common binomial, and factor four-term expressions by grouping.10 questions
3Factoring TrinomialsFactor $x^{2} + b x + c$ by finding two numbers with product $c$ and sum $b$ , factor $a x^{2} + b x + c$ by decomposing the middle term, and check every answer by expanding.12 questions
4Perfect Squares and Difference of SquaresRecognize and factor perfect square trinomials $a^{2} \pm 2 ab + b^{2}$ and differences of squares $a^{2} - b^{2}$ , and combine every method in this unit into one factoring strategy.12 questions