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UNIT 2, LESSON 4 THEOREMS ABOUT ZEROS. GETTING STARTED Find the quotient and remainder when is divided by x-3.

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Presentation on theme: "UNIT 2, LESSON 4 THEOREMS ABOUT ZEROS. GETTING STARTED Find the quotient and remainder when is divided by x-3."— Presentation transcript:

1 UNIT 2, LESSON 4 THEOREMS ABOUT ZEROS

2 GETTING STARTED Find the quotient and remainder when is divided by x-3.

3 GETTING STARTED Find the quotient and remainder when is divided by x-3.

4 GETTING STARTED Find the quotient and remainder when is divided by x-3. Find f(3).

5 GETTING STARTED Find the quotient and remainder when is divided by x-3. Find f(3).

6 REMAINDER THEOREM If a polynomial f(x) is divided by x-c, then the remainder is the number f(c).

7 APPLICATION Find the remainder when is divided by x-1.

8 APPLICATION Find the remainder when is divided by x-1.

9 QUERY… What good does being able to quickly calculate the remainder do for us?

10 FACTOR THEOREM The number c is a root of the polynomial f(x) exactly when x-c is a factor of f(x).

11 PUTTING IT ALL TOGETHER… Determine if x-3 is a factor of

12 PUTTING IT ALL TOGETHER… Determine if x-3 is a factor of

13 PUTTING IT ALL TOGETHER… Determine if x-3 is a factor of

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