Question

using factor theorem determine whether ( 3 x - 2) is a factor of 3x^3+ x^2 - 20x+ 12 . Verify the answer by actual division method.​

Answer 1

Answer:

Let 3x - 2 = 0

= x = 2/3

p(x) = 3x^3 + x^2 - 20x + 12

p(2/3) = 3(2/3)^3 + (2/3)^2 - 20(3/2) + 12

= 4/3 + 4/9 - 30 + 12

= 16/9 - 18

= -146/9

Therefore, 3x-2 is not a factor of the polynomial.