Roots, Zeros and X-intercepts Worksheet with Answer Key

What's on the worksheet

1. Decide whether each number is a zero of the function and name the x-intercept.
   f(x) = x^2 - 5x + 6,\; k = 3f(x) = x^2 + 4x - 21,\; k = -3f(x) = -x^2 + 8x - 16,\; k = 4f(x) = 3x^2 + x - 10,\; k = 2f(x) = 2x^2 - 7x - 15,\; k = -\dfrac{3}{2}
2. Find the roots of each equation after moving every term to one side.
   x^2 = 6xx^2 + 3x = 10x(x - 4) = 21(x + 2)(x - 3) = 62x^2 + 1 = 7x - 2
3. Explain why a student's described intercepts and vertex cannot be right.
4. Hannah's raised garden bed: find the width from the area.
5. Find the zeros of new functions made from one with zeros at negative one and four.
6. Use a table of values and a known intercept to find the other x-intercept.