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Simplifying the Slide Method for Factoring Trinomials

Discover a straightforward method for factoring trinomials using the Slide Method. This technique involves multiplying the coefficient of the leading term by the constant, rewriting the equation with a leading coefficient of one, and factoring the trinomial into two binomials. Through examples, learn how to simplify the process and apply the method effectively. Join us as we factor expressions like 8x² - 35 and 8x² - 105. It's a collaborative exploration—pair up and share the steps of the Slide Method for easy learning!

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Simplifying the Slide Method for Factoring Trinomials

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  1. Slide Method for Factoring Trinomials in the form So you want an easier way to factor trinomials?

  2. Let’s start with this example: Take the coefficient of the and multiply it by the constant. 6 (-15) = -90 Rewrite the equation with a coefficient of “1” for the term and the -90 as the constant. Factor the trinomial. (x – 10)(x + 9) Now divide each of the numbers by the original coefficient of “6”. And simplify The numbers in the denominator now are moved to be the coefficient of x! (3x – 5)(2x + 3)

  3. Let’s look at another example: Take the coefficient of the and multiply it by the constant. 10 (-7)= -70 Rewrite the equation with a coefficient of “1” for the term and the -70 as the constant. Factor the trinomial. (x – 2)(x + 35) Now divide each of the numbers by the original coefficient of “10”. And simplify The numbers in the denominator now are moved to be the coefficient of x! (5x– 1)(2x + 7)

  4. Your Turn Factor the following trinomial using the “slide method for factoring” + 8x – 35 + 8x – 105

  5. With a partner explain the steps for using the slide method for factoring! How easy was that?

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