Question

1. what is factor theorem with example ​

Answer 1

If p(x) is a polynomial of degree n > 1 and a is any real number, then

x – a is a factor of p(x), if p(a) = 0, and

p(a) = 0, if x – a is a factor of p(x).

Answer 2

Step-by-step explanation:

In mathematics, factor theorem is used when factoring the polynomials completely. It is a theorem that links factors and zeros of the polynomial.

Consider the polynomial function f(x)= x2 +2x -15

The values of x for which f(x)=0 are called the roots of the function.

Solving the equation, assume f(x)=0, we get:

x2 +2x -15 =0

x2 +5x – 3x -15 =0

(x+5)(x-3)=0

(x+5)=0 or (x-3)=0

x = -5 or x = 3