Question

If x^21 - 20 is divided by x + 1, then find the
remainder.
​

Answer 1

${\huge{\pink{\underline{\underline{Answer}}}}}$

$\mathrm\blue{x²¹ - 20}$

$\mathrm\blue{\:take \:the \:x \:value \:as = !!}$

$\mathrm\blue{x + 1 = 0}$

$\mathrm\blue{x = -1}$

$\mathrm\blue{= ( -1 )²¹ - 20 }$

$\mathrm\blue{= -1 - 20 }$

$\mathrm\blue{= - 21}$

Answer 2

$\huge\mathbb\blue{Answer}$

$\mathtt{ {(x)}^{21} - 20 \div x + 1 }$

$\ast{\mathtt{ p(x) = {x}^{21} - 20 }}$

$\leadsto\mathtt{ x + 1 = 0 }$

${\green{\underline{\blue{\boxed{\orange{\mathtt{ x = -1 }}}}}}}$

${\longmapsto {\mathtt{ Put \:the\:value \:of\:x\:in\: polynomial}}}$

$\leadsto\mathtt{ p (-1) = {(-1)}^{21} - 20 }$

$\leadsto\mathtt{ -1 - 20 }$

$\leadsto\mathtt{ -21 }$

${\purple{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{ The\:remainder\:is \: -21 }}}}}}}}}$