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Home » Factoring

Factoring Fundamentals
Tutorials & Examples

Boost your math confidence—Master factoring techniques—Solve complex problems with ease

Integer Factorization

1 hr 5 min 21 Examples

  • Introduction to Video: Prime Factorization
  • What is Prime Factorization and GCF for Integers?
  • Examples #1-6: Give the prime Factorization of each number
  • Examples #7-12: List all the pairs of integral factors
  • Examples #13-21: Find the GCF for two numbers

Greatest Common Factor

1 hr 25 min 26 Examples

  • Introduction to Video: Greatest Common Factor
  • Overview of Factoring Out the GCF and Reducing Fractions with Examples #1-2
  • Examples #3-8: Divide by the common factor
  • Examples #9-14: Find the GCF of each monomial
  • Examples #15-20: Factor the polynomial by pulling out the GCF
  • Examples #21-26: Factor by pulling out the GCF

Difference of Squares

1 hr 28 min 31 Examples

  • Introduction to Video: Difference of Two Squares
  • Steps for Factoring the Difference of Squares
  • Examples #1-6: Square each monomial
  • Examples #7-12: Express as a product of squares
  • Examples #13-31: Factor the binomial, if possible

Trinomial Coefficient One

1 hr 15 min 17 Examples

  • Introduction to Video: Factoring Trinomials
  • Steps for Factoring Trinomials with Leading Coefficient of 1
  • Examples #1-8: Factor the trinomial
  • Examples #9-17: Factor the trinomial completely

Trinomial Coefficient Not One

1 hr 33 min 12 Examples

  • Introduction to Video: Factoring Trinomials with leading coefficient greater than 1
  • Steps for Factoring Trinomials with leading coefficient greater than 1
  • Examples #1-4: Factor the trinomial
  • Examples #5-8: Factor the trinomial completely, if possible
  • Examples #9-13: Factor the trinomial completely

Factor by Grouping

1 hr 30 min 16 Examples

  • Introduction to Video: Factoring by Grouping
  • How to factor a trinomial using grouping method? Examples #1-2
  • Factoring by Grouping Steps with Example #3
  • Examples #4-7: Factor each polynomial by grouping
  • Example #8: Factor the polynomial by grouping
  • Examples #9-12: Factor by Grouping and Difference of Squares
  • Examples #13-16: Factor completely, using more than one factoring method

Factoring Cubes

1 hr 2 min 11 Examples

  • Introduction to Video: Factoring Cubes
  • Factoring Sum/Difference of Cubes Formulas with Example #1
  • Examples #2-7: Factor using the sum or difference of cubes
  • Examples #8-11: Factor completely

Solve By Factoring

1 hr 57 min 18 Examples

  • Introduction to Video: Solve by Factoring
  • Steps for Solving a Polynomial Equation by Factoring
  • Examples #1-17: Solve by Factoring
  • Example #18: Solve by Factoring using two different factoring techniques

Factoring Word Problems

1 hr 22 min 9 Examples

  • Introduction to Video: Factoring Word Problems
  • Steps for Solving Factoring Word Problems with Example #1
  • Examples #2-3: Finding two numbers that satisfy the given conditions
  • Examples #4-5: Find the area
  • Example #6: Find the dimension of a picture given area of border
  • Example #7: Find the width of the picture frame
  • Example #8: Find the side of a box given the surface area
  • Example #9: Find time when the ball will reach a specific height

Chapter Test

1 hr 30 min 31 Examples

  • Examples #1-3: Give the prime factorization
  • Examples #4-5: List the pairs of integral factors
  • Examples #6-21: Factor completely, if possible
  • Examples #22-24: Factor completely
  • Examples #25-28: Solve the polynomial equation by factoring
  • Example #29: Solve the polynomial equation
  • Examples #30-31: Solve the word problem by factoring
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