Let
f(x)\equal{}\sum_{k\equal{}1}^n a_k x^k and g(x)\equal{}\sum_{k\equal{}1}^n \frac{a_k x^k}{2^k \minus{}1} be two polynomials with real coefficients.
Let g(x) have 0,2^{n\plus{}1} as two of its roots. Prove That f(x) has a positive root less than 2n. algebrapolynomialalgebra proposed