Factor and Solve Polynomial Equations Chapter 2.4

Solve each Equation 𝑥 2 −64=0 𝑥 2 +4𝑥−21=0 2𝑥 2 −𝑥−28=0 5 𝑥 2 +20𝑥=0

Factor each Polynomial Completely 𝑥 3 +2 𝑥 2 −15𝑥 2𝑦 5 −18 𝑦 3 4𝑐 4 −16 𝑐 3 +16 𝑐 2

Factor each Polynomial Completely 4. 𝑦 3 −4 𝑦 2 −12𝑦 5. 3𝑥 5 +30 𝑥 2 +75𝑥 6. 5𝑔 5 −80 𝑔 2

Sum and Difference of Two Cubes

Factor each polynomial completely 𝑥 3 +64 125𝑛 3 +216 𝑤 3 −27

Factor each polynomial completely 4. 16 𝑦 5 − 250𝑦 2 5. 27 𝑥 3 +125 6. −2 𝑑 5 +250 𝑑 2

Factor By Grouping 𝑥 3 −3 𝑥 2 −16𝑥+48 27𝑦 3 +45 𝑦 2 −3𝑦−5 𝑥 3 −7 𝑥 2 −9𝑥−63

Factor polynomials in quartic form 16𝑥 4 −81 2𝑝 8 +10 𝑝 5 +12 𝑝 2 10𝑥 4 −10

Factor polynomials in quartic form 4. 3𝑚 12 +54 𝑚 7 +51 𝑚 2 5. 16ℎ 4 −625 6. 4𝑏 6 −20 𝑏 4 +24 𝑏 2

Solve Polynomial Equations 𝑤 2 −3𝑤=0 𝑥 2 −5𝑥+6=0 𝑥 3 + 𝑥 2 −9𝑥=9 𝑑 2 =16 3𝑥 5 +15𝑥=18 𝑥 3

Solve Polynomial Equations 6. 𝑣 3 + 5𝑣 2 =0 7. 𝑥 2 −7𝑥+10=0 8. 𝑥 3 + 𝑥 2 −25𝑥=25 9. 𝑎 2 =81 10. 2𝑥 5 = 12𝑥 3 −16𝑥