Question

Using division algorithm find the quotient and remainder on divifing f(x)by g(x),where f(x)=6x^3+13x^2+x-2 and g(x)=2x-1

Answer 1

Answer:

remainder = 5/2

quotient = 3x^2 + 8x +9/2

Step-by-step explanation:

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Answer 2

quotient=$3x^2+8x+4$ remainder=$x+2$

Step-by-step explanation:

$f(x)=6x^3+13x^2x-2\\g(x)=2x-1$

By using remainder theorem

$Dividend=Divisor\times quotient+Remainder\\\Rightarrow\frac{6x^3+13x^2+x-2}{2x-1}=(Quotient=3x^2+8x+4),(Reminder=x+2)$