Question

Check whether polynomial x minus 3 is a factor of the polynomial x cube minus 3 x square minus x + 3 verify by long division method

Answer 1

You can also find it by remainder theorem

By remainder theorem-

x -3=0

x = 3

P(x)= x^3 -3x^2-x+3

put x=3 in p(x)

p(x)=3^3 -3×3^2-3+3

=27-27-3+3

=0

Hence x-3 is a factor of polynomials

1. divide x-3 to the polynomials
2. you will get the quotient= x^2-1
3. and remainder =. 0
4. That's why x-3 is a factor of polynomials