5.4 Factor and Solve Polynomial Equations

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Presentation transcript:

5.4 Factor and Solve Polynomial Equations

In chapter 4 you learned how to factor the following types of quadratic expressions: Example General trinomial: Perfect Square trinomial: Difference of two squares: Common monomial factor: In this lesson you will learn how to factor other types of polynomials.

Special Factoring Patterns Sum of two cubes Think of F & S as First & Second terms Difference of two cubes Put these on a notecard or You will have to memorize them!

Factor Sum of two cubes 16u5 – 250u2 = Difference of two cubes

Factoring by grouping:

Factor:

Factor:

Solving a polynomial equation. Solve: Solution: What do you notice about the number of answers and the degree of the polynomial? Recall the zero product property from chapter 5. Set each of these factors equal to zero and solve .