Question

Prove remainder theoram!!!please guys i need the answers fast ,i will make you brainliest if it is perfect

Answer 1

HI, here is the proof :

Remainder theorem says that -

if a polynomial f(x) is divided by (x-a) the remainder = f(a)

Proof :

By division algorithm for f(x) and (x-a) there exists a unique quotient q(x) and a constant remainder say c,such that

f(x) = (x-a)* q(x) + c

on putting x = a,

f(a) = (a-a) * q(x) + c = 0 * q(x) + c = c

hence , remainder = f(a)

thus when a polynomial f(x) is divided by (x-a) the remainder = f(a) = remainder theorem

: )

Answer 2

Answer:

$<svg width="10000" height="10000" viewBox="0 0 100 100">\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ <path fill="red" d="M92.71,7.27L92.71,7.27c-9.71-9.69-25.46-9.69-35.18,0L50,14.79l-7.54-7.52C32.75-2.42,17-2.42,7.29,7.27v0 c-9.71,9.69-9.71,25.41,0,35.1L50,85l42.71-42.63C102.43,32.68,102.43,16.96,92.71,7.27z"></path>\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ <animateTransform \ \textless \ br /\ \textgreater \ attributeName="transform" \ \textless \ br /\ \textgreater \ type="scale" \ \textless \ br /\ \textgreater \ values="1; 1.5; 1.25; 1.5; 1.5; 1;" \ \textless \ br /\ \textgreater \ dur="2s" \ \textless \ br /\ \textgreater \ repeatCount="40"> \ \textless \ br /\ \textgreater \ </animateTransform>\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ </svg>$