Question

What is the factor theorem with example class 9?

Answer 1

The factor theorem is a theorem linking factors and zeros of a polynomial. It is commonly applied to factorizing and finding the roots of polynomial equations. The theorem states that isa factor of a polynomial f(x)if ;that is, r is a root of f(x). ... If , then the remainder is 0 and , showing that is a factor of f(x)

Answer 2

Step-by-step explanation:

Factor Theorem. Factor Theorem. x – a is a factor of the polynomial p(x), if p(a) = 0. Also, if x – a is a factor of p(x), then p(a) = 0, where a is any real number. This is an extension to remainder theorem where remainder is 0, i.e. p(a) = 0.