\left. \begin array l \text nust be added to f ( x ) = 4 x

1.	\left. \begin array l \text nust be added to f ( x ) = 4 x ^ 4 %2B 2 x ^ 3 - 2 x ^ 2 %2B x - 1 \text so that the \\ \text e by g ( x ) = x ^ 2 %2B 2 x - 3 ? \end array \right.
Answer» 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______________________-6x³+10x²+x -6x³-12x²+18x___________________ 22x²-17x-1 ____________________-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 ) Like my answer if you find it useful!

\left. \begin array l \text nust be added to f ( x ) = 4 x ^ 4 %2B 2 x ^ 3 - 2 x ^ 2 %2B x - 1 \text so that the \\ \text e by g ( x ) = x ^ 2 %2B 2 x - 3 ? \end array \right.

Answer»

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______________________-6x³+10x²+x

-6x³-12x²+18x___________________

22x²-17x-1

____________________-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 )

Like my answer if you find it useful!