What must be added to x4-2 x3-2 x2-x-1- so that the resulting polynomial is exactly divisible by x2-2 x-3 -

Thus, (x nbsp; nbsp;2) should be added to (x4+2x3 2x2+x 1) nbsp;to make the nbsp;resulting polynomial exactly divisible by (x2+2x 3). ...

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Division Algorithm for a Polynomial

What must be ...

Question

What must be added to x⁴ + 2x³ − 2x² + x − 1 , so that the resulting polynomial is exactly divisible by x²+ 2x − 3?

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

g (x) = x^{2} + 2 x - 3

x^{4} + 2 x^{3} - 2 x^{2} + x - 1

x^{2} + x - 2

p (x) = 2 x^{3} + 9 x^{2} - 5 x - 15

2 x + 3

The expression that should be added to the polynomial f(x) = x⁴ + 2x³ – 2x² + x + 1, so that it should be exactly divisible by (x² + 2x – 3) is

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