Question

on dividing x3+ 4x2 + 3 X + 2 by g (x), quotient and remainder where x2-2 and 5 x + 10 respectively find g (x)

Answer 1

Answer

g(x) = x+4

Step by step explanation

By division algorithm

Dividend = Divisor × Quotient + Remainder

p(x) = g(x) × q(x) + r(x)

x3 + 4x2 + 3x +2 = g(x) × x2-2 + 5x + 10

Now remainder transfers to LHS

x3 + 4x2 + 3x +2 -5x -10 = g(x) × x2-2

x3 + 4x2 - 2x -8 = g(x) × x2-2

Now remainder transfers to LHS

x3+4x2-2x-8 / x2-2 = g(x)

Now performing division

Now for division plz refer to the image given above

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