What real number should be subtracted from the polynomial 3x3 10x2 14x 9 so that 3x 2 divides it exactly?

Solution

Solution:Calculate Quotient and remainder:Given:Dividend=3x3+10x2-14x +9Divisor=3x-23x-23x3+10x2-14x+ 9x2+4x-23x3-2x2 12x2-14x+9 12x2-8x -6x+9 -6 x+4 5=Remainder Final answer: Hence,5should be subtracted from the given polynomial.

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What real number should be subtracted from the polynomial 3x2 + 10x2– 14x + 9, so that the polynomial 3x– 2 divides it exactly ?

Let p(x) = 

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