Question

on dividing a polynomial by x²-2,the quotient is found as 2x²+5x-2and the remainder as -x+14. find the polynomial.
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Answer 1

Hiii Mate...!!

Step-by-step explanation:

Let p(x) be the polynomial which is divided by x^2–2 and 2x^2 +5x-2 is

the quotient and -x+14 is the remainder

then

p(x)=(x^2–2)(2x^2+5x-2)+(-x+14)

=2x^4+5x^3–2x^2–4x^2–10x+4

=2x^4+5x^3–6x^2–10x+4