1. 5-7A Classifying Zero’s
Algebra II

2. Identify the # of solutions or zeros
Ex. 1) 9 𝑡 t³ + 4t – 1 = 0

3. Possible Combinations of answers
Degree
Roots
Possible Combinations 1
1 Real Root 2
2 Real Roots, or
2 imaginary Roots 3
3 Real Roots, or
1 Real and 2 imaginary Roots 4
4 Real Roots,
or 2 Real and 2 imaginary Roots,
or 4 imaginary Roots 5  5
1 Real and 4 imaginary roots or
3 Real & 2 imaginary roots

4. Ex. 2
Determine the # of possible numbers of (positive & negative) real numbers & imaginary zero’s for the function.
2a.) g(x) = -x³ + 5x² + 12
2b.)f(x) = 𝑥 𝑥 4 -4 𝑥 3 - 3x² +9x -15
1 R & 2 i

5. Assignment

6. Ex. 3
Write a polynomial function f of least degree that has rational coeffecients, a leading coefficient of 1 and the given zero’s.
a.) -2, 1, 3
b.) 5, 5, 4 + I
c.) 3i, 2-i