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Anonymous
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1. f(x) = π‘₯ 3 – π‘₯ 2 – 8 x + 12

2. h(x) = 2π‘₯ 3 – 3π‘₯ 2 – 2 x + 3

3. g(x) = 36π‘₯ 4 – 13 π‘₯ 2 + 1

4. g(x) = π‘₯ 3 + 3π‘₯ 2 – 6 x – 8

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NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 2-4 Practice Zeros of Polynomial Functions List all possible rational zeros of each function. Then determine which, if any, are zeros. 1. f(x) = π‘₯ 3 – π‘₯ 2 – 8x + 12 2. h(x) = 2π‘₯ 3 – 3π‘₯ 2 – 2x + 3 3. g(x) = 36π‘₯ 4 – 13π‘₯ 2 + 1 4. g(x) = π‘₯ 3 + 3π‘₯ 2 – 6x – 8 Solve each equation. 5. 2π‘₯ 4 + 9π‘₯ 3 – 87π‘₯ 2 – 49x + 45 = 0 6. π‘₯ 3 – 5π‘₯ 2 – 17x = –21 7. Determine an interval in which all real zeros of f(x) = π‘₯ 4 + π‘₯ 3 – 7π‘₯ 2 – x + 6 must lie. Explain your reasoning using the upper and lower bound tests. Then find all real zeros. 8. Describe the possible real zeros of f(x) = π‘₯ 4 + 2π‘₯ 3 – 13π‘₯ 2 – 14x + 24. Write a polynomial function of least degree with real coefficients in standard form that has the given zeros. 9. –5, 1+ √11π’Š 1– √11π’Š 2 , 2 10. 1, –1, √3i, – √3i Use the given zero to find all real zeros of each function. Then write the linear factorization of p(x). 11. p(x) = π‘₯ 4 – 5π‘₯ 3 + 8π‘₯ 2 – 20x + 16; 2i 12. p(x) = π‘₯ 4 + 4π‘₯ 3 – 2π‘₯ 2 – 4x + 16; 1 + i 13. DRIVING An automobile moving at 12 meters per second on level ground begins to decelerate at a rate of 1.6 1 meters per second squared. The formula for the distance an object has traveled is d(t) = 𝑣0 t + π‘Žπ‘‘ 2 , where 𝑣0 is the 2 initial velocity and a is the acceleration. For what value(s) of t does d(t) = 40 meters? Chapter 2 23 Glencoe Precalculus ...
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