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Polynomial Factoring Practice Exercises

Practice factoring polynomials with step-by-step examples. Improve your math skills and master factoring techniques. Solve various polynomial expressions easily.

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Polynomial Factoring Practice Exercises

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  1. Review ObjectiveThe student will be able to: Factor polynomials by choosing the appropriate method. SOL: A.2c Designed by Skip Tyler, Varina High School

  2. 1. Factor. 5ax2 - 45a GCF = 5a 5a(x2 - 9) 5a(x - 3)(x + 3) 2. Factor. 32x3 - 50x GCF = 2x 2x(16x2 - 25) 2x(4x - 5)(4x + 5)

  3. 3. Factor. x4 + x3 - 12x2 GCF = x2 x2 (x2 + x - 12) x2 (x + 4)(x - 3) 4. Factor. 12a3 - 16a2 - 16a GCF = 4a 4a(3a2 - 4a - 4) 4a(a - 2)(3a + 2)

  4. 5. Factor. -45a4 - 135a2d - 40d2 GCF = -5 -5(9a4 + 27a2d + 8d2) -5(3a2 + 8d)(3a2 + d)

  5. 6. The area of a rectangle is represented by 10a2 - 29a - 21. What are its dimensions? Area = Length • Width You need to factor to determine each. GCF = none (5a + 3)(2a - 7) What is the perimeter of the rectangle? 14a - 8

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