Factoring When the Leading Coefficient Is One Worksheet with Answer Key

What's on the worksheet

1. Factor each trinomial and check by multiplying back.
   x^2 + 9x + 20k^2 - 13k + 36x^2 + 2x - 48w^2 - 7w - 60x^2 - 20x + 64
2. Write each trinomial in order and factor it, or show it is prime.
   -24 + x^2 + 5xx^2 - 8xy + 15y^2x^2 + 7x + 8x^2 - 2x - 30a^2 - 3ab - 54b^2
3. Classroom rug: factor the area and find the other side.
4. Multiply out Diego's answer to see which trinomial he actually factored.
5. Find every positive integer c that makes the trinomial factor.
6. Factor a trinomial and use it to evaluate it at 96 without a calculator.
7. Explain why an odd constant forces the middle coefficient to be even.
8. Fill in each blank so that the factorization is true.