Question

divide x3-2x-1 by x2-x-1 then quotient will be
plz help me if you will give me correct answer I will thank you​

Answer 1

Answer

Let p(x)=2x

4

+x

3

−14x

2

−19x+6.

Given that the divisor is 2x+1. Write 2x+1=0. Then x=−

2

1

therefore The zero of the divisor is x=−

2

1

.

So, 2x

4

+x

3

−14x

2

−19x+6=(x+

2

1

){2x

3

−14x−12}+12

=(2x+1)

2

1

(2x

3

−14x−12)+12

Thus, the quotient is

2

1

(2x

2

−14x−12)=x

3

−7x−6 and the remainder is 12.

But, given quotient is x

3

+ax

2

−bx−6. Comparing this with the quotient obtained we get, a = 0 and b = 7.

Thus, a=0, b=7 and the remainder is 12.