on dividing 3xcube + xsquare +2x + 5 by a polynomial g(x) , the quotient and remainder are (3x-5)and (9x+10)respectively find g(x).
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3x-5*qx+9x+10=3x³+x²+2x+5
3x-5×qx=3x³+x²+2x+5-9x-10
3x-5×qx=3x³+x²-7x-5
qx=3x³+x²-7x-5÷3x-5
qx=x²+2x+1.......is required answer
3x-5×qx=3x³+x²+2x+5-9x-10
3x-5×qx=3x³+x²-7x-5
qx=3x³+x²-7x-5÷3x-5
qx=x²+2x+1.......is required answer
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