Factoring out the GCF worksheets Grades 8–9

How to do it

Find the greatest factor shared by every term. Write it outside the parentheses.

Example problems

1. $16x^{3} - 40x^{2} =$$8x^{2}(2x - 5)$Show answer
2. $5x^{3} - 5x^{2} + 45x =$$5x(x^{2} - x + 9)$Show answer
3. $30x + 18 =$$6(5x + 3)$Show answer
4. $10x^{2} - 35 =$$5(2x^{2} - 7)$Show answer

Polynomials and factoring

1. Exponent rules
2. Adding and subtracting polynomials
3. Multiplying a monomial by a polynomial
4. Multiplying binomials (FOIL)
5. Special products
6. Factoring out the GCF
7. Factoring trinomials
8. Factoring trinomials with a leading coefficient
9. Factoring the difference of squares