MathsClue.com

Laravel

Chapters For Class X- CBSE

${p(x) = x^4 – 3x^2 + 4x + 5}$, ${g(x) = x^2 + 1 – x}$

${x^4}$      ${– 3x^2 + 4x + 5}$

${x^2 -x+1}$

$x^2$

$+x$

$-3$

$x^4-x^3+x^2$

($-$)

($+$)  ($-$)

$x^3-4x^2+4x+5$

$x^3-x^2+x$

($-$)

($+$) ($-$)

$-3x^2+3x+5$

$-3x^2+3x-3$

($+$) ($-$) ($+$)

Therefore:$x^4 – 3x^2 + 4x + 5$ = $(x^2 + 1 – x)(x^2+x-3) + 8 $