Multiplying Polynomials Worksheet with Answer Key

What's on the worksheet

1. Multiply each monomial by a polynomial and keep each sign with its term.
   7a(3a^2 - 2a + 5)-2x^3(x^4 - 6x^2 + 3)(9t^2 + 6t - 15) \cdot \dfrac{1}{3}t-x(-x^2 + 8x - 1)4m^2n(3m - mn^2 + 2n)
2. Multiply and collect like terms, writing the highest power first.
   (x - 4)(x^2 + 2x + 3)(2y + 5)(y^2 - 3y + 1)(a^2 - 2)(a^3 + a - 4)(x^2 + 3x - 2)(x^2 - x + 4)(3p - q)(p^2 + 2pq - q^2)
3. Name the three mistakes in a student's product and write the correct answer.
4. Write the product of a fractional monomial and a sum of polynomials in standard form.
5. Multiply out and solve the resulting equation.
6. Stationery shop: write the total pencils from cartons, packs and pencils.
7. Find specific coefficients of a product without writing out all of it.
8. Find k so the product has no squared term, then write the product.