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Solving Polynomial Equations
What you’ll learn To solve polynomials equations by factoring. To solve polynomials equations by graphing. Vocabulary Sum of the cubes= Difference of the cubes=
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Remember: If is a factor of polynomial, then the polynomial has a value 0 when x=a. If a is a real number, then the graph of the polynomial has (a,0), as an x-intercept. When you have a polynomial factoring that polynomial will help you to solve the equation like So to solve a polynomial equation by factoring Write the equation in the form P(x)=0 Factor P(x). Use the Zero Property of the roots
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Problem 1: Solving Polynomial Equation Using Factors.
What are the real or imaginary solutions of each polynomial equations? Make equation=0 and get GCF Make equation =0, Divide by 3 and get GCF Factor Use quadratic to solve Zero property and solve for x
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Your turn What are the real or imaginary solutions of each equation? Answers:
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Take a note
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Problem 2: Solving Polynomial Equations by Factoring
What are the real or imaginary solutions of each polynomial equation? A. Make the equation =0 Let then Factor with -4 and +1 Replace back Then and Two imaginary roots
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Verify your answer with the graphic calculator
The graphs shows zero at x=2, and x=-2. it also shows three turning points. This means that are imaginary roots, which do not appear on the graph
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Problem 2 What are the real or imaginary solutions of each polynomial equation? B. Make equation =0 The three solutions are
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Your turn What are the real or imaginary solutions of each polynomial equations? Answer: c) Answer: a) Answer b)
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Classwork odd Homework even
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