Review of the Methods of Factoring - Concept

Concept Concept (1)

The first step is to identify the polynomial type in order to decide which factoring methods to use. Next, look for a common term that can be taken out of the expression. A statement with two terms can be factored by a difference of perfect squares or factoring the sum or difference of cubes. For the case with four terms, factoring by grouping is the most effective way. This method is explained in the video on advanced factoring.

Sample Sample Problems (5)

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Review of the Methods of Factoring - Problem 1

Factor:

2x²(x + 1)² − 7x(x + 1)² + 6(x + 1)²
Problem 1
How to factor by taking out the greatest common factor.
Review of the Methods of Factoring - Problem 2

Factor:

2ab² − 8b² − a + 4
Problem 2
How to factor by grouping.
Review of the Methods of Factoring - Problem 3

Factor:

16x² − 24xy + 9y²
Problem 3
How to factor a perfect square trinomial.
Review of the Methods of Factoring - Problem 4

Factor:

8x³ − 27
Problem 4
How to factor the difference of cubes.
Review of the Methods of Factoring - Problem 5

Factor:

10x² + 23xy − 5y²
Problem 5
How to factor a trinomial with a leading coefficient not equal to one.