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 Skip Navigation LinksMath Help > Basic Algebra > Factoring > Factoring Trinomials

This is the third page about factoring.   It helps you FACTOR TRINOMIALS

In the first page, I presented the perfect square trinomial and the difference of two squares.

In the second page, I presented a method of factoring four-term expressions with pairs of factors.

Pages 3a, 3b, and 3c give three methods of factoring trinomials:

Page 3a works by listing the factors of the "a" and "c" coefficients.
Page 3b completes the square.
Page 3c is the "AC Method", which has you multiply the "a" and "c" coefficients, and list all the factors of that product.
Page 3d is the "Simplified AC Method"

How to recognize a TRINOMIAL
  1. There are three terms
  2. The first term is a constant multiplied by x²
  3. The second term is a constant multiplied by x
  4. The last term is a constant

EXAMPLE 5:

Consider 6x² + 19x - 20

If this can be factored, the factors will look like one of the following:

A. (2x + 5) (3x - 10)
B. (x + 4) (2x - 5)
C. (x + 4) (6x - 5)
D. (6x + 20) (x - 1)

Which one is right?  (See the answer here.)

Related pages in this website

Continue by selecting one of these methods of factoring trinomials:

Page 3a works by listing the factors of the "a" and "c" coefficients.

Page 3b completes the square.

Page 3c has you multiply the "a" and "c" coefficients, and list all the factors of that product.

 

The webmaster and author of this Math Help site is Graeme McRae.