Question

Find the quotient and reminder in the following: ( only for brilliant)

1. (2x⁴ - x³ + 10x² + 7x - 4) ÷ (x² - x + 6)

2. ( x³y³/6 + x²y/9 + y²x/3 - x²/3 ) ÷ (x²y/3)

please do it in a rough page. ​​​​

Answer 1

Answer:

We have x

3

+1=(x+1)(x

2

−x+1).

Now,

(x+1)

x

3

+1

=

x+1

(x+1)(x

2

−x+1)

=(x

2

−x+1).

So when x

3

+1 is divided by (x+1) then the quotient be x

2

−x+1 and the remainder will be 0 [ Since x

3

+1 is perfectly divisible by (x+1)]..