Ms. Milani
GSE Algebra II YName ________________________________________ Block ______Unit 1 Part 3 Polynomials Test Review: Finding Zeros, Factor/Remainder Thorem, and Rational Root Theorem You may use a graphing calculator to assist in the process of finding the zeros of the polynomials.Write the equation of the graph in factored form. right4064000 Does the function have a multiplicity? If “yes”, at what value on the x-axis does it occur?What is the least possible degree of the function?Given the factored form of the equation f(x) = x(x + 4)(x + 3)(2x – 1), what are all the zeros of the function?________________________________Complete the statement: Given the factored form of the polynomial f(x) = x3(x + 2)(x + 4), there is a multiplicity of ________ at _________.What are all the solutions of x3 – 7x2 + 10x = 0?________________________________What are the zeros of the function f(x) = x4 - 7x3 + 13x2 + x – 20?________________________________Make a list of all the possible rational zeros of the function f(x) = 10x3 + 6x2 – 3x + 7 (DO NOT SOLVE!)Use synthetic division to find the quotient and remainder for the following polynomial:(6x5 + 4x3 - 3x2 + 9x - 5) ÷ (x - 1).________________________________Use synthetic division and appropriate quadratic methods to complete the following.Factor the polynomial f(x) = x3 – 8x2 + 4x + 48 given that f(4 ) = 0. ________________________________Given that (x - 10) is a factor of f(x) = 2x3 – 14x2 – 56x - 40, find all the zeros.________________________________Factor the polynomial f(x) = 3x3 + 8x2 – 45x – 50 completely given that f(-5) = 0. ________________________________Find all the roots of the equation x4 + x3 – 11x2 – 9x + 18 = 0 given that (x + 3) and (x – 1) are factors. ________________________________(1) make a list of possible rational zeros. (2) Use the graphing calculator or provided picture to select a possible rational root. Use synthetic division to justify your possible rationl root. (3) Use any appropriate combination of synthetic division and quadratic methods to find all the zeros. ***Your solutions are only estimates until proven algebraically using any appropriate.42326981989600 f(x) = 8x3 – 22x2 – 7x + 3 ______________________________ ____________________________ y = x4 + 7x3 + 11x2 – 22x - 72. __________________________ f(x) = x3 – 3x2 + 4x - 12__________________________Write the standard form equation of the polynomial with zeros at 4, -2 and 7. __________________________Write the standard form equation of the polynomial with solutions and 5i. __________________________ ................
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