Question

find the quotient and remainder when 4 x cube minus 7 x square + 6 x minus 19 is divided by 3 minus 2 X + x square​

Answer 1

Step-by-step explanation:

The division of (8x

4

−2x

2

+6x−7) and (2x+1) is shown above:

Therefore, from the division, we get that the quotient is (

2

1

(8x

3

−4x

2

+6)) that is (4x

3

−2x

2

+3) and the remainder is −10.

But it is also given that the quotient is (4x

3

+px

2

−qx+3), thus on comparing the coefficients of both the quotients (4x

3

−2x

2

+3) and (4x

3

+px

2

−qx+3), we get

p=−2 and

q=0

Hence, p=−2, q=0 and the remainder is −10.