Pre-Calculus Review for Complex Zeros and Polynomial Inequalities Quiz
1. Write, in standard form, a polynomial of degree 4 whose zeros include 2 – 3i and 4 + i
2. Without graphing, using a sign chart, find the values of x for f(x) = (x – 3)(x + 6)(x – 5)2 that satisfy:
a) f(x) = 0
b) f(x) >0
c) f(x)<0
d) f(x) ≤ 0
3. 2 – 3i is a zero of f(x) = x4 + 6x3 – x2 + 26x + 338. Find the remaining zeros and identify the zeros as real or nonreal and rational or irrational.
4. Write the polynomial in standard form. Then identify the zeros and the x-intercepts.
f(x) = (x – 5i)(x + 5i)(x – 4)
5. Find the domain of the following functions. You must show your work.
Pre-Calculus Review for Complex Zeros and Polynomial Inequalities Quiz
1. Write, in standard form, a polynomial of degree 4 whose zeros include 2 – 3i and 4 + i
2. Without graphing, using a sign chart, find the values of x for f(x) = (x – 3)(x + 6)(x – 5)2 that satisfy:
a) f(x) = 0
b) f(x) >0
c) f(x)<0
d) f(x) ≤ 0
3. 2 – 3i is a zero of f(x) = x4 + 6x3 – x2 + 26x + 338. Find the remaining zeros and identify the zeros as real or nonreal and rational or irrational.
4. Write the polynomial in standard form. Then identify the zeros and the x-intercepts.
f(x) = (x – 5i)(x + 5i)(x – 4)
5. Find the domain of the following functions. You must show your work.