Question

find the reminder when
${x}^{2} - {4x}^{2} + 1 + 2x + 7$
is divided by
$x + \frac{1}{2}$
I WILL MARK AS YOU BRAINLIST​

Answer 1

$\huge\mathfrak{Bonjour!!}$

$\huge\bold\green{ANSWER:}$

Let p(x)= x² +4x² +1+2x +7

We have, x+1/2= x-(-1/2)

So, by remainder theorem, when p(x) is divided by (x+1/2)=(x-(-1/2)) the remainder is equal to p(-1/2)

Now,

p(x)= x² +4x² +1 +2x +7

→p(-1/2)= (-1/2)² +4(-1/2)² + 1 +2(-1/2)+7

→p(-1/2)= 5× (-1/2)² +1-1+7

→p(-1/2)= 5× 1/4 +1-1+7

→p(-1/2)= 5/4 +7

→p(-1/2)= 33/4

Hence, the required remainder is 33/4..

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Hope it helps...:-)

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