Question

on dividing 6x5+4x4-27x3-7x2-27x-6by a polynomial g(x) , the quotient and remainder were 2x2-3and - 54x-15/12,find g(x)​

Answer 1

Answer:

g(x)=45.5

Step-by-step explanation:

Let f(x)= 6x5+4x4-27x3-7x2-27x-6

f(x)= 113

When f(x) is divided by g(x),

then quotient=2x2-3= 1

Remainder= -54x-15/12= 67.5

We know that,

Dividend= Divisor*Quotient+Remainder

f(x)=g(x)*1+67.5

113= g(x)+67.5

g(x)=45.5

Answer g(x)=45.5