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

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Solution

degrees zero means its a normal number as x^0=1

hence divide (2x^3 + 5x^2-14x +10) by (2x-3)

remainder is 7

hence 7 should be added so that 2x^3 +5x^2 -14x +10 is exactly divisible by 2x-3

therefore g(x) is 7

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

degrees zero means its a normal number as x^0=1 hence divide (2x^3 + 5x^2-14x +10) by (2x-3) remainder is 7 hence 7 should be added so that 2x^3 +5x^2 -14x +10 is exactly divisible by 2x-3 therefore g(x) is 7

degrees zero means its a normal number as x^0=1

hence divide (2x^3 + 5x^2-14x +10) by (2x-3)

remainder is 7

hence 7 should be added so that 2x^3 +5x^2 -14x +10 is exactly divisible by 2x-3

therefore g(x) is 7