Additional Mathematics – Factors of polynomials | e-Consult

Given the polynomial \(f(x)=2x^{3}-5x^{2}+4x-7\). Use the Remainder Theorem to find the remainder when \(f(x)\) is divided by \((x-3)\). Then state, using the Factor Theorem, whether \((x-3)\) is a factor of \(f(x)\).