Question

On dividing x3+4x2+3x+2 by g(x), quotient and remainder were (x2-2) and (5x+10) respectively. find g(x)​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Here is your answer Hope this helps you

According to division algorithm

Dividen= Divisor × Quotient + Remainder

p(x) = g(x) × q(x) + r(x),

plug the value in formula we get

x³ – 3x² + x + 2 = g(x) *(x-2) - 2x + 4

Add 2x and subtract 4 both side we get

x³ – 3x² + x + 2 + 2x – 4 = g(x) *(x-2)

simplify and divide by x/2 we get

(x³ – 3x² + 3x– 2)/(x-2) = g(x)

So we get g(x) = x^2 – x +1

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