Factored Form Worksheet with Answer Key

What's on the worksheet

1. Rewrite each quadratic in factored shape, then give its zeros and leading coefficient.
   (3x - 6)(x + 4)(2x + 5)(x - 1)(4 - x)(x + 2)(6 - 2x)(3x + 1)5x(10 - x)
2. Write each quadratic in factored form and use it to find the vertex.
   x^2 + 8x - 20-2x^2 + 4x + 303x^2 - 12x2x^2 - 5x - 3-x^2 + 6x - 9
3. Find every x where the output is negative using the signs of the factors.
   (x + 4)(x - 1)-2(x + 3)(x - 5)\dfrac{1}{2}x(x - 8)(x - 6)^2-(x - 6)^2
4. Wind-up toy frog: use the height rule to find where it lands and its top height.
5. Check Hannah's reading of the zeros and opening direction of a factored function.
6. Write a quadratic in factored form with radical zeros and give its axis of symmetry.
7. Find p so that the vertex has a given x-coordinate, then find the vertex.
8. Compare two parabolas with the same zeros: name shared points and see how they differ.
9. Find the other zero and the equation from a y-intercept, an axis and one zero.