Algebra 2 Level 2
Solving Polynomial Equations – Extra Practice
Use your calculator to graph each function and identify an x-intercept, and use division to
start factoring the expression. Then finish factoring using previous methods.
1.
𝑥 3 + 6𝑥 2 + 2𝑥 − 15
2.
6𝑥 3 + 7𝑥 2 − 74𝑥 + 72
3.
𝑥 5 − 𝑥 4 − 5𝑥 3 + 5𝑥 2 − 14𝑥 + 14
4.
𝑥 3 − 2𝑥 2 − 2𝑥 − 24
5.
𝑥 4 − 2𝑥 3 + 6𝑥 2 − 18𝑥 − 27
6.
𝑥 5 + 4𝑥 4 − 8𝑥 3 − 32𝑥 2 + 12𝑥 + 48
7.
7𝑥 3 − 17𝑥 2 − 82𝑥 − 40
8.
𝑥 4 + 5𝑥 3 − 26𝑥 2 − 10𝑥 + 48
Solve each equation.
9.
𝑥 3 + 2𝑥 2 − 7𝑥 = 14
10.
6𝑥 4 = 384𝑥
11.
4𝑥 3 + 15 = 19𝑥
12.
2𝑥 6 + 90𝑥 2 = 28𝑥 4
13.
3𝑥 3 + 2𝑥 2 − 75𝑥 = 50
14.
𝑥 3 − 2𝑥 2 = 21𝑥 + 18
15.
𝑥 4 + 13𝑥 2 + 40 = 4
16.
𝑥 3 − 13𝑥 2 + 42𝑥 = 36
17.
7𝑥 4 + 112𝑥 2 = 3𝑥 3 + 48𝑥
18.
3𝑥 3 + 7𝑥 2 = 70𝑥 + 200