Question 1
1 markFind the zeros of the polynomial function \( f(x) = (x+2)(x-3)(2x+1) \).
AP (Advanced Placement) · AP Precalculus
1.1 Change in Tandem: Practice Questions
5 multiple-choice questions marked as you go, and 1 written questions with worked solutions. All on 1.1 Change in Tandem.
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Question 2
1 markFind the values of \( A \) and \( B \) such that \( \frac{5x - 7}{x^2 - 3x + 2} = \frac{A}{x - 1} + \frac{B}{x - 2} \). What is the value of \( A + B \)?
Question 3
1 markFind the slant (oblique) asymptote of the rational function \( f(x) = \frac{x^2 + 3x + 1}{x - 2} \).
Question 4
1 markFind the vertical asymptote of the rational function \( f(x) = \frac{2x + 3}{x - 4} \).
Question 5
1 markAnalyze the end behavior of the rational function \( g(x) = \frac{-3x^5 + 2x^2 - 1}{4x^3 + 5x + 7} \). Which statement correctly describes the limits as \( x \) approaches infinity and negative infinity?
Question 6
4 marksGiven the polynomial \( P(x) = x^3 + kx^2 - 4x + 12 \).
(a) If the remainder when \( P(x) \) is divided by \( x - 1 \) is 6, find the value of the constant \( k \).
(b) Using the value of \( k \) found in part (a), find the remainder when \( P(x) \) is divided by \( x + 2 \).
Write your answer out first, then check it against the worked solution.
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