Question

8. Check whether 3x-2 is a factor of 3x^3+x^2-20x+12 using factor theorem.​

Answer 1

Step-by-step explanation:

yes, 3x-2 is a factor of 3x^3+x^2-20x+12

Answer 2

Answer:

Yes ,It is factor

Step-by-step explanation:

given

Check whether 3x-2 is a factor of 3x^3+x^2-20x+12 using factor theorem.

3x-2= 0

x = 2/3

if it is factor then p(2/3) = 0 according to factor theorem

now

p(x) = 3x³+x²-20x+12

p(2/3) = 3(2/3)³+(2/3)²-20(2/3)+12

= 24/27+4/9-40/3+12

= ( 24+12-360+324 )/27

= (360-360)/27

= 0/27

= 0

hence checked that 3x-2 is a factor of 3x^3+x^2-20x+12 using factor theorem.

It is factor