1 / 13

130 likes | 1k Views

Do Now: Factor the polynomial. 1.) 2x 2 – 3x – 20 2.) x 2 – 36 3.) x 2 + x – 20. Algebra II. 4 .4: Factoring Polynomials. Chapter 3. We learned how to factor the following. Factoring Polynomials.

Download Presentation
## Do Now: Factor the polynomial.

**An Image/Link below is provided (as is) to download presentation**
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.
Content is provided to you AS IS for your information and personal use only.
Download presentation by click this link.
While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

**Do Now: Factor the polynomial.**1.) 2x2 – 3x – 20 2.) x2 – 36 3.) x2 + x – 20**Algebra II**4.4: Factoring Polynomials**Chapter 3**• We learned how to factor the following**Factoring Polynomials**• We can also factor polynomials with degree greater than 2. Some can be factored completely using techniques we already know. • A factorable polynomial with integer coefficients is factored completely if it is written as a product of unfactorable polynomials with integer coefficients.**Factoring Polynomials**• 2(x+1)(x – 4) is factored completely • 3x(x2 – 4) is not factored completely because x2 – 4 = (x + 2)(x – 2)**Factor: Find Common Monomial**• x3 – 4x2 – 5x • 3y5 – 48y3 • 5z4 + 30z3 + 16z2**Factoring Cubes**In the second part of the last slide, the special factoring pattern for the difference of two squares was used to factor the expression completely. There are also factoring patterns that we can use to factor cubes.**Factoring Cubes**• Sum of Two Cubes a3 + b3 = (a + b)(a2 – ab + b2) • Difference of Two Cubes a3 – b3 = (a – b)(a2 + ab + b2)**Factor the sum or difference of cubes**1.) x3 – 125 2.) 16s5 + 54s2**Factoring by grouping.**For some polynomials, you can factor by grouping pairs of terms that have a common monomial factor. This is very similar to our strategy for factoring quadratics of the form ax2 + bx + c when |a| > 1.**Factor by grouping**1) z3 + 5z2 – 4z – 20**Factoring polynomials in quadratic form**An expression of the form au2 + bu + c, where u is an algebraic expression, is said to be in quadratic form. The factoring techniques we have studied can sometimes be used to factor such expressions.**Factor Polynomials in Quadratic Form**• 16x4 – 81 • 3p8 + 15p5 + 18p2

More Related