Answer the following with reference to polynomials.
MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
Answer the following with reference to polynomials.
(i) State the Factor Theorem for a polynomial in one variable.
(ii) For the polynomial f(x)=x3−2x2−5x+6, verify that x=3 is a zero of the polynomial.
(iii) Using the result of part (ii), explain why f(x) can be expressed in the form (x−3)q(x), where q(x) is a quadratic polynomial.