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The Remainder Theorem A-APR 2 Explain how to solve a polynomial by factoring.

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Presentation on theme: "The Remainder Theorem A-APR 2 Explain how to solve a polynomial by factoring."— Presentation transcript:

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2 The Remainder Theorem A-APR 2

3 Explain how to solve a polynomial by factoring

4 One zero of f(x) = x 3 + x 2 - 16 x -16 is 4, what is another zero? How did you find it? How do you know it’s a zero?

5 Synthetic Division Divide polynomials without messing with the variables by using the coefficients and constants. Use the opposite of the constant from the divisor. ________________________________ The first coefficient from the dividend is the first coefficient in your answer. 6 Then you multiply the number in the box to the last number written under the answer line. The answer goes under the next coefficient in line. 12 Then add!! -7 Repeat the process!!! -14 2 4 0 The answer is--

6 Synthetic Division Given: Use direct substitution to find:

7 Use synthetic division What can you conclude if the remainder is zero? Zero of the function Solution of the equation x-intercept

8 Find the factors of the polynomial provided the number given is a solution.

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10 Find the zeros of the polynomial provided the number given is a solution.

11 One zero of f(x) = x 3 + x 2 - 16 x -16 is 4, what is another zero? How did you find it? How do you know it’s a zero?

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13 Homework  P. 355 (17-22, 25, 28, 29, 36)


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