Answered: 3. Find a polynomial function f(x) of…

3. Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the given conditions. (Hint: see Example 4) Zero of 2 and zero of 4 having multiplicity 2; f(1) = –18

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 4E

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

3. Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the given
conditions. (Hint: see Example 4)
Zero of 2 and zero of 4 having multiplicity 2; f(1) = –18
3x" + 7x²-13x+ 0
+ 66
-2 3
-13

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