Question

if f(x)=2x⁴–5x³+x²+3x–2 is divided by g(x) the quotient =2x²–5x+3 and r(x)=–2x+1 find g(x).
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Answer 1

f(x)/g(x) =q(x)+(r(x)/g(x)

which equals to

g(x)=(f(x)-r(x))/(q(x)

put the values to get the answer