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

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Presentation transcript:

The Remainder Theorem A-APR 2

Explain how to solve a polynomial by factoring

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

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!!! The answer is--

Synthetic Division Given: Use direct substitution to find:

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

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

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

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

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