Math 3
A1 Polynomial Review
Name: ____________________________ Per: _______
1. Simplify the following expressions. There should be no negative and fractional exponents.
a. √384𝑥 4 𝑦 3
b. √1440𝑥 3 𝑦 2 𝑧
3
c. √24𝑚3 𝑛5
4
d. √405𝑥 6 𝑦 4
2. Sketch a graph for the following polynomial equations.
a.
b.
𝑦 = 𝑥 2 (𝑥 − 3)(𝑥 + 5)3
Degree:
LC:
𝑦 = −(𝑥 + 6)3 (𝑥 − 4)2 (𝑥 + 2)2
Degree:
LC:
3. Use the graphs below to write specific equation for each polynomial function.
a. 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡: (0, 12)
Equation:
b. 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡: (0, 3)
Equation:
4. Use the information provided to write out the polynomial function in both standard and factored
form. Then graph.
a. Degree: 4
Roots: 𝑥 = −3, 0, 1
Leading Coefficient: −1
b. Degree: 3
Roots: 𝑥 = −1, 4
Leading Coefficient: 2