Q

Algebra II - Mixed Review 1

(9 Questions)
10 viewed last edited 4 years ago
The quiz contains a mix of different types of problems from Algebra-II
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What is the absolute value of 5 - 12 i ?
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Solve f(x) = 0 where f(x) = 2 \vert x + 5 \vert + 4 .
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A fifth order polynomial with real coefficients is known to have the following zeros, 1, 2, 3+2i \text{ and } 3-2i . How many x-intercepts does this polynomial have?
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Is -4 a complex number? What is its absolute value? Enter your answer as either "Yes, X" or "No, X" where X is the absolute value of -4.
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Solve f(x) = 0 where f(x) = \begin{cases} 2x + 3 & \text{ if } x \leq -2 \\ -3x + 2 & \text{ if } x > -2 \end{cases} If your answer is a fraction enter it as a/b.
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Factor 2x^3 + 54
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Simplify 8 i - 3 + 6 i + 17i^{13} . Enter your answer as a + b i. If a and b are negative enter your answer as -a - bi.
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A ball is tossed from a roof-top that is 20 feet above the ground. The ball’s height is given by h=20-x^2+4x where x is the distance along the ground from the base of the roof top. What is the maximum height achieved by the ball? How far is the ball from the base of the roof top when it hits the ground? Round your answer to the hundredths place. Enter your answer as h, d where h is the maximum height (in feet) and d is the distance from the base (in feet). Note that h and d are decimal numbers. E.g. if your answers are 10 feet and 14.2 feet, enter your answer as "10.00, 14.20"
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What is the degree of the polynomial that is defined by the following table? Use the method of finite differences. Click on the picture for a fuller view.
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by Mahesh Godavarti