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P-x-is-a-polynomial-If-P-x-2-1-6x-4-x-2-5-Find-P-x-2-1-




Question Number 188082 by Shrinava last updated on 25/Feb/23
P(x) is a polynomial  If   P(x^2  + 1) = 6x^4  − x^2  + 5  Find   P(x^2  − 1) = ?
P(x)isapolynomialIfP(x2+1)=6x4x2+5FindP(x21)=?
Answered by cortano12 last updated on 25/Feb/23
 let x^2 =u−1⇒P(u)=6(u−1)^2 −(u−1)+5  ⇒P(x)=6(x−1)^2 −u+6  ⇒P(x^2 −1)=6(x^2 −2)^2 −(x^2 −1)+6
letx2=u1P(u)=6(u1)2(u1)+5P(x)=6(x1)2u+6P(x21)=6(x22)2(x21)+6

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