alg 2 section 6.6 finding rational zeros · 11/6/2019  · warm-up 1. given one zero, find the...

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Warm-up 1. Given one zero, find the others. f(x) = x 3 - 8x 2 + 4x + 48 ; 4 Alg 2 Section 6.6 Finding Rational Zeros Goal: To find the rational zeros of a polynomial function. [AAPR.2 & A.APR.3]

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Page 1: Alg 2 Section 6.6 Finding Rational Zeros · 11/6/2019  · Warm-up 1. Given one zero, find the others. f(x) = x3 - 8x2 + 4x + 48 ; 4 Alg 2 Section 6.6 Finding Rational Zeros Goal:

Warm-up

1. Given one zero, find the others.

f(x) = x3 - 8x2 + 4x + 48 ; 4

Alg 2 Section 6.6

Finding Rational Zeros

Goal: To find the rational zeros of a

polynomial function. [AAPR.2 & A.APR.3]

Page 2: Alg 2 Section 6.6 Finding Rational Zeros · 11/6/2019  · Warm-up 1. Given one zero, find the others. f(x) = x3 - 8x2 + 4x + 48 ; 4 Alg 2 Section 6.6 Finding Rational Zeros Goal:

Finding Rational Roots (whole numbers, fractions, decimals)

If a polynomial function has integer coefficients, then every rational zero of f has the following form

List all possible rational roots.

1. f(x) = 5x4 + 12x3 - 16x2 + 10

2. f(x) = x3 + 2x2 - 11x -12

Page 3: Alg 2 Section 6.6 Finding Rational Zeros · 11/6/2019  · Warm-up 1. Given one zero, find the others. f(x) = x3 - 8x2 + 4x + 48 ; 4 Alg 2 Section 6.6 Finding Rational Zeros Goal:

Find all real zeros of the function.

3. f(x) = x3 - 4x2 - 11x + 30

4. f(x) = x3 + 2x2 - 3x - 6

Page 4: Alg 2 Section 6.6 Finding Rational Zeros · 11/6/2019  · Warm-up 1. Given one zero, find the others. f(x) = x3 - 8x2 + 4x + 48 ; 4 Alg 2 Section 6.6 Finding Rational Zeros Goal:

5. f(x) = 3x3 - x2 - 33x - 9

Assignment: p. 362 #15, 17, 19, 33-36, 47-49

READ Directions!!!!

Page 5: Alg 2 Section 6.6 Finding Rational Zeros · 11/6/2019  · Warm-up 1. Given one zero, find the others. f(x) = x3 - 8x2 + 4x + 48 ; 4 Alg 2 Section 6.6 Finding Rational Zeros Goal:

p362 #15,17,19,33-36,47-496.6

6.6 p. 362 #15, 17, 19, 33-36, 47-49, Answers