Find the zeros and the corresponding multiplicity of the following polynomials and then draw the graph of the polynomial. (a) f(x) = x5 (x − 1)²(x + 1) (b) g(x) = x² - 2x³ + 2x² - 2x +1 (hint: this polynomial has rational zero. You should first factor it completely)

College Algebra (MindTap Course List)
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Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
Problem 26CT
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6
Find the zeros and the corresponding multiplicity of the following polynomials
and then draw the graph of the polynomial.
(a) f(x) = x5 (x − 1)²(x + 1)
(b) g(x) = x¹ − 2x³ + 2x² − 2x + 1 (hint: this polynomial has rational zero.
You should first factor it completely)
Transcribed Image Text:6 Find the zeros and the corresponding multiplicity of the following polynomials and then draw the graph of the polynomial. (a) f(x) = x5 (x − 1)²(x + 1) (b) g(x) = x¹ − 2x³ + 2x² − 2x + 1 (hint: this polynomial has rational zero. You should first factor it completely)
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