Question

check wether the polynomial 3x-1 is a factor of 9x^3-3x^2+3x-1​

Answer 1

Answer:

Yes

Step-by-step explanation:

p(x) = 9x³ - 3x² + 3x - 1

g(x) = 3x - 1

   0 = 3x - 1

   3x = 1 ⇒ x = 1/3

        p(1/3) = 9(1/3)³ - 3(1/3)² + 3 × 1/3 - 1

                  = 1/3 - 1/3 + 1 - 1

Remainder = 0

So, g(x) is a factor of p(x).