# SOLUTION: what polynomial with a degree of 4 has zeros with multiplicity 1 at x=-2 and x=2 and a zero with multiplicity 2 at x=0 and f(1)=2

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: what polynomial with a degree of 4 has zeros with multiplicity 1 at x=-2 and x=2 and a zero with multiplicity 2 at x=0 and f(1)=2      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Polynomials-and-rational-expressions Question 603315: what polynomial with a degree of 4 has zeros with multiplicity 1 at x=-2 and x=2 and a zero with multiplicity 2 at x=0 and f(1)=2Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi, polynomial with a degree of 4 has zeros at x=-2, x= 2 and x=0 (two) f(x) = a(x+2)(x-2)(x-0)(x-0) f(x) = ax^2( x^2 - 4) f(1) = -3a = 2 a = (-2/3) f(x) = (-2/3) x^2( x^2 - 4) ```