# SOLUTION: It would be nice if someone could show me how to solve this problem. Thanks in advance. Find a polynomial equation that has the zeros x= +1,-1 and x= +2,-2 and passes through t

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: It would be nice if someone could show me how to solve this problem. Thanks in advance. Find a polynomial equation that has the zeros x= +1,-1 and x= +2,-2 and passes through t      Log On

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

 Question 21998: It would be nice if someone could show me how to solve this problem. Thanks in advance. Find a polynomial equation that has the zeros x= +1,-1 and x= +2,-2 and passes through the point (3,5). Some blanks may contain zeros. f(x)=(___)X­^4+(____)X^3-(____)X^2+(____)X+(____)Answer by stanbon(57282)   (Show Source): You can put this solution on YOUR website! Zeroes at +-1 implies a factor of (x^2-1) Zeroes at +-2 implies a factor of (x^2-4) EQUATION: y = k(x^2-1)(x^2-4) We need to find "k". We have a point: when x=3, y=5. Substitute that values in to get: 5 = k(9-1)(9-4) 5 = k(8)(5) k = 1/8 The equation you want is y = (1/8)(x^2-1)(x^2-4) Multiply that out to get y = (1/8)[x^4-5x^2+4] y = (1/8)x^4 = (5/8)x^2 +(1/2) Cheers, Stan H.