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McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
1. Graphing Quadratic Functions
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Exercise 83 Page 103

Is there a greatest common factor? What other factoring technique could you use according to the number of terms?

Prime

Practice makes perfect

We want to factor the given polynomial. Note that it has two terms. x^2+25 First, notice that there is no greatest common factor. There are three additional common factoring techniques for binomials.

  1. Difference of Two Squares
  2. Difference of Two Cubes
  3. Sum of Two Cubes

Since neither term is a cube, we cannot use the sum nor the difference of two cubes. Furthermore, we have the sum, not the difference of squares. The given polynomial cannot be factored; it is prime.

Extra

 Factoring techniques
There are different factoring techniques to apply according to the number of terms the polynomial has.

Number of Terms Factoring Technique
Any number Greatest Common Factor (GCF)
Two Difference of Two Squares, Sum of Two Cubes, or Difference of Two Cubes
Three Perfect Square Trinomials, or General Trinomials
Four or More Grouping

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