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Station 1: List all possible rational zeros of each function. Then determine which, if any, are zeros . 1 . f ( x ) = – – 8 x + 12 2 . h ( x ) = 2 – 3 – 2 x + 3. 3. g ( x ) = 36 – 13 + 1 4 . g ( x ) = + 3 – 6 x – 8. Station 2: Solve each equation.
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Station 1: List all possible rational zeros of each function. Then determine which, if any, are zeros. 1. f(x) = – – 8x + 12 2. h(x) = 2 – 3 – 2x + 3 3. g(x) = 36 – 13 + 1 4. g(x) = + 3 – 6x – 8
Station 2: Solve each equation 5. 2 + 9 – 87 – 49x + 45 = 0 6. – 5 – 17x = –21
Station 3: Determine an interval in which all real zerosof the function must lie. Explain your reasoning using the upper and lower bound tests. Then find all real zeros. f(x) = + – 7 – x + 6 Station 4: Describe the possible real zerosof f(x) = + 2 – 13 – 14x + 24.
Station 5: Write a polynomial function of least degree with real coefficients in standard form that has the given zeros 9. –5, , 10. 1, –1, i, – i
Station 6: Use the given zero to find all real zeros of each function. Then write the linear factorization of p(x). 11. p(x) = – 5 + 8 – 20x + 16; 2i 12. p(x) = + 4 – 2 – 4x + 16; 1 + i
Station 7: 12. An automobile moving at 12 meters per second on level ground begins to decelerate at a rate of 1.6 meters per second squared. The formula for the distance an object has traveled is d(t) = t + , where is the initial velocity and a is the acceleration. For what value(s) of t does d(t) = 40 meters?