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Midterm Test 2 Solution

Midterm Test 2 Solution

Q Question 16. Use the Rational Zero Theorem to list all possible rational zeros for the functions below: 1. f(x) = x5 - 2x2 + 3x + 6 Constant Term: 6 Factors: ±6, ±1, ±3, ±2 Leading Coefficient: 1 Factors: ±1 2. f(x) = -2x3 + 4x2 - 2x + 8 Constant Term: Factors: ±8, ±1, ±4, ±2 Leading Coefficient: -2 Factors: ±2, ±1 1. Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 11x2, but which has its vertex at (3, 7). 2. Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 5x2, but which has a minimum of 9 at x = 5. 3. Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = -7x2, but which has a maximum of 9 at x = 2.

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1.Possible Rational Zeros: Factors of Constant / Factors of Leading Coefficient = ±6, ±1, ±3, ±2 2.Possible Rational Zeros: Factors of Constant / Factors of Leading Coefficient = ±1/2, ±1, ±2, ±4, ±8, 3.Vertex: (h, k) Standard Form: f(x) = a(x – h)2 + k f(x) = 11 (x – 3)2 + 7