Solving Polynomial Equations in Factored Form

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Presentation transcript:

Solving Polynomial Equations in Factored Form 7.4 Solving Polynomial Equations in Factored Form Students will be able to use the Zero-Product Property. Students will be able to factor polynomials using the GCF.

1. Students will be able to use the Zero-Product Property. Zero-Product Property – if the product of two real numbers is 0 (zero), then at least one of the numbers is 0 (zero). If ab=0, then a and/or b have to be 0 (zero). or or We say the roots, or solutions, or zeros are and

or or The roots, or solutions, or zeros are and

You Try! or or

You Try! or or

This is calling solving the equation. or or or or

This is calling solving the equation. means or or The equation has a double root or a repeated root of

This is calling solving the equation. or or or or

2. Students will be able to factor polynomials using the GCF. What can we factor out of both terms? Check using the Distributive Property! Now solve using the zero-product property. or

2. Students will be able to factor polynomials using the GCF. First set equal to 0 What can we factor out of both terms? Now solve using the zero-product property. Check using the Distributive Property! or

Last one YEH!! But First Let us review what we learned today Students will be able to use the Zero-Product Property. Students will be able to factor polynomials using the GCF.

Last one YEH!! Good Job!