Question

The remainder obtained when the polynomial 1+x+x³+x9+27+X81+X243is divided by X-1 is

Answer 1

Answer:

Hey mate, Good morning ❤

#Here's ur answer..☆☆☆

Step-by-step explanation:

$\large{ \mathcal{ \underline{ \orange{hope \: u \: know \: remainder \: theoram}}}}$

$\red{ \bold{given...p(x) = 1 + x + {x}^{3} + {x}^{9} + {x}^{81} + {x}^{243}}} \\ \bold{ \red{g(x) = x - 1}}$

$\bold{p(x) = q(x) \times g(x) + r(x)} \\ \bold{if \: g(x) = 0 \: then \: p(x) = r(x)} \\ = > g(x) = 0 \\ = > x - 1 = 0 \\ = > x = 1 \\ \green{ \bold{then \: p(1) = remainder }}\\ = > p(1) = 1 + 1 + 1 {}^{3} + 1 {}^{9} + 1 {}^{27} + 1 {}^{81} + {1}^{243} \\ = > p(1) = \red{ \bold{7(remainder)}}$

▶️Hope this helps you..✍

▶️Pls mark as brainliest..⚘⚘

⚘And, pls follow me..《☆》