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Multiplying a monomial by a polynomial worksheets Grades 8–9

Multiply the outside term by every term inside.

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Free · Worked example · 21 problems · Answer key · US Letter

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How to do it

Multiply the outside term by each term inside. Add exponents on x.

−x2(5x2+5x+4)=−x2(5x2)+−x2(5x)+−x2(4)=−5x4−5x3−4x2-x^{2}(5x^{2} + 5x + 4) = -x^{2}(5x^{2}) + -x^{2}(5x) + -x^{2}(4) = -5x^{4} - 5x^{3} - 4x^{2}multiply −x² by each term

Example problems

  1. −5x2(−4x2−2x−1)=-5x^{2}(-4x^{2} - 2x - 1) =
  2. 4x2(3x2+2x−9)=4x^{2}(3x^{2} + 2x - 9) =
  3. 3x(2x2−2x−8)=3x(2x^{2} - 2x - 8) =
  4. −5x(−5x2−x)=-5x(-5x^{2} - x) =

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