Building a Polynomial from Its Zeros Worksheet with Answer Key

What's on the worksheet

1. Write each polynomial with integer coefficients from its zeros and multiplicities.
   −6, multiplicity 3-\dfrac{3}{2}, multiplicity 23 + \sqrt{2} and 3 - \sqrt{2}\dfrac{1}{2} and -\dfrac{1}{3}\dfrac{2}{3}, i and -i
2. Find the cubic with zeros including a conjugate pair of irrational numbers and a y-intercept.
3. Find a quartic with real coefficients from a complex zero, a double zero and a value.
4. Write the rule of the polynomial graph from its zeros and a marked point.
5. Find the cubic with given fractional zeros, with integer coefficients.
6. Find polynomials with only two real zeros and a given y-intercept, for different degrees.