List of top Mathematics Questions on Polynomials asked in VITEEE

Let \( f(x) \) be a polynomial function satisfying \[ f(x) \cdot f\left(\frac{1}{x}\right) = f(x) + f\left(\frac{1}{x}\right). \] If \( f(4) = 65 \) and \( I_1, I_2, I_3 \) are in GP, then \( f'(I_1), f'(I_2), f'(I_3) \) are in:

If \(f(x)=2x^4-13x^2+ax+b\) is divisible by \(x^2-3x+2\), then \((a,b)\) is equal to

The non-integer roots of \( x^4 - 3x^3 - 2x^2 + 3x + 1 = 0 \) are: