4.6 Factoring Polynomials
Algebra II
Name: ___________________________
Period: _____
Show the binomial is a factor of the polynomial. Then, factor the polynomial
1. 𝑔(𝑥) = 𝑥 3 − 𝑥 2 − 20𝑥; 𝑥 + 4
2. 𝑡(𝑥) = 𝑥 3 − 5𝑥 2 − 9𝑥 + 45; 𝑥 − 5
3. 𝑓(𝑥) = 𝑥 4 − 6𝑥 3 − 8𝑥 + 48; 𝑥 − 6
4. 𝑞(𝑥) = 𝑥 4 + 4𝑥 3 − 64𝑥 − 256; 𝑥 + 4
5. 𝑟(𝑥) = 𝑥 3 − 37𝑥 + 84; 𝑥 + 7
6. ℎ(𝑥) = 𝑥 3 − 𝑥 2 − 24𝑥 − 36; 𝑥 + 2
Match each function with the correct graph. Explain your answer.
7. 𝑓(𝑥) = (𝑥 − 2)(𝑥 − 3)(𝑥 + 1)
8. 𝑔(𝑥) = 𝑥(𝑥 + 2)(𝑥 + 1)(𝑥 − 2)
9. ℎ(𝑥) = (𝑥 + 2)(𝑥 + 3)(𝑥 − 1)
10. 𝑘(𝑥) = 𝑥(𝑥 − 2)(𝑥 − 1)(𝑥 + 2)