Question

On dividing x cube minus 5 x square - 6 X + 4 by polynomial G (X )the quotient and remainder when x minus 3 and 4 respectively findg ( x)

Answer 1

Answer:

P(x) =g(x).*q(x) +r(x)

Just put the value

Answer 2

Given :p(x) = x³-5x²-6x+4

quotient = (x-3)

remainder = 4

To find : g(x)

Step-by-step explanation:

dividend = divisor × quotient + reaminder

x³-5x²-6x+4 = g(x) × (x-3) +4

x³-5x²+6x+4 -4 =  g(x) × (x-3)

x³-5x²+6x = g(x) × (x-3)

g(x) = $\frac{x^3-5x^2-6}{x-3}$

then on division we get

g(x) = x² -2x

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