Question

When we add p(x) to 4x 4 + 2x 3 – 2x 2 + x – 1 the resulting polynomial is divisible by x 2 + 2x – 3 find p(x)

Answer 1

Answer:

Hi,

p( x )= 4x⁴+ 2x³- 2x²+x -1

g(x )= x²+2x-3

x²+2x-3)4x⁴+2x³-2x²+x-1(4x²-6x+22

4x⁴+8x³-12x²

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-6x³+10x²+x

-6x³-12x²+18x

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22x²-17x-1

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-61x+65

The remainder = -61x +65

Now we have to add 61x -65 to p(x)

So that the resulting polynomial is

divisible by g( x )

I hope this helps you.