Let be a polynomial with real coefficients

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

Let

p(x)=x^{10}+a_2x^8+a_3x^6+a_4x^4+a_5x^2

be a polynomial with real coefficients. If

p(1)=1

and

p(2)=-5

, then the minimum number of distinct real zeroes of

p(x)

is: (a) 5 (b) 6 (c) 7 (d) 8