Polynomials and factoring worksheets Grades 8–9
Exponent rules, adding and multiplying polynomials, special products, and factoring trinomials and differences of squares.
- Exponent rulesSimplify using the product, quotient and power rules for exponents.
- Adding and subtracting polynomialsCombine like terms, changing every sign of a subtracted polynomial.
- Multiplying a monomial by a polynomialMultiply the outside term by every term inside.
- Multiplying binomials (FOIL)Multiply two binomials with first, outer, inner, last, then combine like terms.
- Special productsSquare a binomial and multiply a sum by a difference with the special product patterns.
- Factoring out the GCFFactor the greatest common factor out of a polynomial.
- Factoring trinomialsFactor x² + bx + c by finding two numbers that multiply to c and add to b.
- Factoring trinomials with a leading coefficientFactor ax² + bx + c by splitting the middle term and grouping.
- Factoring the difference of squaresFactor a² − b² as (a + b)(a − b).
Unit packet
One two-sided worksheet for every topic, then the unit test, with the answer key at the back. Fresh each time.
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Unit test
Two problems from every topic. Pass it and move up to the next unit.
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