Quiz 6 Math 112 ---- Polynomials Name___________________________________ DO YOUR WORK ON A SEPERATE PIECE OF PAPER!!! Show all work in order to receive full credit. Find the y-intercept of the polynomial function. 1) f(x) = (x + 1)(x - 4)(x - 1)2 Use synthetic division and the Remainder Theorem to find the indicated function value. 8) f(x) = x4 - 7x3 - 6x2 - 7x + 3; f(-3) Use the Leading Coefficient Test to determine the end behavior of the polynomial function. 2) f(x) = -3x3 - 3x2 - 2x + 1 Use the Rational Zero Theorem to list all possible rational zeros for the given function. 9) f(x) = 6x4 + 4x3 - 2x2 + 2 Use factoring to find the zeros of the polynomial function. 3) f(x) = x3 + 2x2 - 9x - 18 Solve the equation given that the number is a zero of the given function. 10) Solve 2x3 - 3x2 - 11x + 6 = 0 Find the zeros for the polynomial function and give the multiplicity for each x-intercept. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each x-intercept. 4) f(x) = 4(x - 3)(x - 2)2 given that -2 is a zero of f(x)=2x3 - 3x2 - 11x + 6. Graph the polynomial function. Show your steps. 5) f(x) = x4 - 4x2 10 y 8 6 4 2 -10 -8 -6 -4 -2 -2 2 4 6 8 10 x -4 -6 -8 -10 Divide using long division. 2x3 - 11x + 6 6) x - 2 Divide using synthetic division. Write your answer as ʺQuotient + Remainder/Divisorʺ x5 + x3 - 5 7) x - 2 1

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