1.

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»

Hi,p( X )= 4x⁴+ 2x³- 2x²+x -1g(x )= x²+2x-3x²+2x-3)4x⁴+2x³-2x²+x-1(4x²-6x+224x⁴+8x³-12x²______________________-6x³+10x²+x-6x³-12x²+18x___________________22x²-17x-1____________________-61x+65The remainder = -61x +65Now we have to ADD 61x -65 to p(x)So that the resulting polynomial ISDIVISIBLE by g( x )I HOPE this HELPS you.



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