Question

Divide 6x^4 - 23x^3 + 25x^ 2 - 6x -4 by 3x-5 and verify the division algorithm

Answer 1

p(x) = 6x⁴-23x³+25x²-6x-4

g(x) = 3x-5

We have to divide p(x) by g(x) and then we have to verify the division algorithm.

Here , we get q(x) = 2x³-(13/3)x²-(10/6)x-(86/18)

r(x) = -502/18

Division Algorithm :

p(x) = g(x) × q(x) + r(x)

For the division and verification please refer to the above attachments.