Question

find the difference between the quotient & remainder when x^3- 6x^2+11x-6 is divided by x+1

Answer 1

Answer:

Difference of quotient and remainder is $\Rightarrow x^2-7x+42$

Step-by-step explanation:

$\text{We need to divide }x^3-6x^2+11x-6\text{ by }x+1$

We will get quotient and remainder.

We have to find the difference between quotient and remainder.

Using long division

$\frac{x^3-6x^2+11x-6}{x+1}\Rightarrow x^2-7x+18-\frac{24}{x+1}$

$\text{Quotient :}x^2-7x+18$

$\text{Remainder: }x+1$

Now we will find difference of quotient and remainder

$\text{Difference: Quotient - Remainder}\Rightarrow (x^2-7x+18)-(-24)$

$\Rightarrow x^2-7x+42$

Thus, Difference of quotient and remainder is $\Rightarrow x^2-7x+42$

Answer 2

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