A polynomial g(x) of degree zero is added to the polynomial 2x3 + 5x2 – 14x + 10 so that it becomes exactly divisible by 2x – 3. Find the g(x).

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Basanti Dey

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Divide(2X3 + 5X2 – 14X + 10) ÷ (2X – 3) , In that division quotient is =X2 +4X – 1, Remainder = 7 .so ( - 7) , is 0 degree polynomial that can added. so ( – 7)is aswer. OR Another way, (2X3 + 5X2 – 14X + 10) ÷ (2X – 3) =(X2+4X -1) +7 . SO if add...
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Divide(2X3 + 5X2 – 14X + 10) ÷ (2X – 3) , In that division quotient is =X2 +4X – 1, Remainder = 7 .so ( - 7) , is 0 degree polynomial that can added. so ( – 7)is aswer. OR Another way, (2X3+ 5X2– 14X + 10) ÷ (2X – 3) =(X2+4X -1) +7 . SO if add (-7) to, (2X3+ 5X2– 14X + 10). it will be (2X3+ 5X2– 14X + 3) it will be exactly divided by (2X – 3) . so (-7) is degree of zero polynomial . (as degree of zero polynomial is defind to be negative or undefined .Answer. read less
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