Question

7. Divide 6x power of 3 - 11x power of 2 + 18x by 3x - 1 and verify
that
Dividend = Divisor x Quotient + Remainder.
​

Answer 1

Answer:

P(x) = 6x^3 - 11x^2 +18

g(x) = 3x - 1

q(x) = 2x^2 - 3x

r(x) =15x

Please refer to the attachment

Verification

P(x) = g(x).q(x) +r(x)

= (3x-1)(2x^2 - 3x) +15x

= 3x (2x^2 - 3x)-1(2x^2 - 3x)+15x

= 6x^3 - 9x^2 - 2x^2 +3x +15x

= 6x ^3 - 11x^2 +18x

P(x) =p(x)

Hence, verfied

Answer 2

See that For answer ,which publication are you using