Name ______________________________________________________________
enVisionโข Algebra 2 โข Teaching Resources
3-5 Reteach to Build Understanding
Zeros of Polynomial Functions
1. For the polynomial x3 โ 36x < 0, find:
a. Degree of the polynomial: ______
b. End behavior: x โ โ, y โ โ and x โ ______, y โ ______
c. Factor:
f(x) = x3 โ 36x
0 = x(x2 โ 36)
____________________
d. The zeros are: _____________________
e. Test values of x between the zeros to determine whether the function is
positive or negative.
f(x) = x3 โ 36x x = 7
____________________
____________________
2. Tavon found the solutions of f(x) = x3 โ 3x2 โ 54x. Find and correct his errors.
a. The degree of the polynomial is 2.
b. End behavior: x โ โ, y โ โ and x โ โโ, y โ โโ
c. Zeros are at 0, 9 and โ6.
3. Solve the inequality x4 โ 25x2 < 0.
a. Degree of the polynomial:
b. End behavior: x โ ___, y โ โ and x โ โโ, y โ ____
c. Find the zeros using factoring or synthetic division:
f(x) = x4 โ 25 x2
__ = ______ (x2 โ 25)
____________________
The zeros are: _____________________
