Question

what must be added to f(x)=4x^2+2x^3-2x^2+x+1 so that the resulting polynomial is divisible by g(x)=x^2+2x-3

Answer 1

◢GIVEN EQUATIONS...

$= > f(x) = 4 {x}^{4} + 2 {x}^{3} - 2 {x}^{2} + x - 1$

◢AND

$= > g(x) \: = {x}^{2} + 2x - 3$
_______________________________

◢NOW,

◢DIVIDED

$= > \frac{f(x)}{g(x)}$

◢WE GET,

● THE REMAINDER => "-61x + 67"

_______________________________

◢NOW,

● WE HAVE TO ADDED

=> -(-61x + 67)

=> 61x - 67 ___________[◢ANSWER]

TO f(x)

● SO THAT THE RESULTING POLYNOMIAL IS DIVISIBLE BY g(x)

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☆$BE \: \: BRAINLY$☆