Question

HeyyyHeyyy!!!✋✋

Solve the following using remainder theorem⤵⤵


Find the remainder when :

$3{x}^{4 } + 17 {x}^{3} + 9 {x}^{?} - 7x - 10$
is divided by :

$x + 5$



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Answer 1

hope this helps u dear if yes plz mark as branliest plz dear

Answer 2

$\huge \bf{\underline{ \underline{Answer}}}$


Answer refer to the attachment.


$\bf \underline{Given}$

$p(x) = 3 {x}^{4} + 17 {x}^{3} + 9 {x}^{2} - 7x - 10$

$g(x) = x + 5$

$\bf \underline{To \: Find} :$

Remainder.

So after division we get remainder as 0.

$\therefore \: \boxed{ \bf{Remainder = 0}}$


By using Remainder Theorem we can find the remainder of the given polynomial .

So, if p(x) is divided by g(x), the remainder can be determined by finding p(-5).

=> p(x) = 3x^4 + 17x^3 + 9x^2 - 7x - 10

=> p(-5) = 3(-5)^4 + 17(-5)^3 + 9(-5)^2 - 7(-5) -10

= 3(625) + 17(-125) + 9(25) + 35 - 10

= 1875 - 2125 + 225 + 25

= 2125 - 2125

= 0

HENCE , BY REMAINDER THEOREM WE GOT ,

REMAINDER = 0