Question

(i)Find the quotient and remainder when x4 + x3 + 3x2 + 12x + 6 is divided by x2 – x + 4​

Answer 1

$\huge\bold{\textbf{\textsf{{\color{cyan}{Answer}}}}}$

The dividend is 

$x^4-3x^2+4x+5x4−3x2+4x+5$

 and divisor is 

$x^2-x+1x2−x+1 .$

We have to find the quotient and remainder of

$\frac{x^4-3x^2+4x+5}{x^2-x+1}</p><p>$

Use long division method to divide 

$x^4-3x^2+4x+5x4−3x2+4x+5 by x^2-x+1x2−x+1 .$

From the given diagram it is noticed that the quotient is 

$x^2+x-3x2+x−3$

 and remainder is 8.