证明,如果P（x）是一个多项式仅具有偶次幂x,而P（a）=0,则P（x）的整除x^2-a^2ProvethatifP(x)isapolynomialhavingonlyevenpowersofx,andP(a)=0,thenP(x)isdivisiblebyx^2−a^2

Question

证明,如果P（x）是一个多项式仅具有偶次幂x,而P（a）= 0,则P（x）的整除 x^2 - a^2
Prove that if P(x) is a polynomial having only even powers of x,and P(a) = 0,then P(x) is divisible by x^2 − a^2

Answer 1

证明：因为P（x）是一个多项式仅具有偶次幂x,而P（a）= 0
所以P（-a）= 0 则P（x）能被(x-a)(x+a)整除