Question

When the function f(x) is divided by 4x – 5, the quotient is 3.02 – 2+2 and theremainder is - 1. Find the function f(x) and write the result in standard form.

Answer 1

Problem

Solution

For this case we can do the following to model the function f(x)

$f(x)=g(x)(x-a)+r$

Where g(x) os the quotient and r the remainder and replacing we got:

$f(x)=(3x^2-x+2)\cdot(4x-5)-1$

And solving we got:

$f(x)=12x^3-15x^2-4x^2+5x+8x-10-1$

And if we simplify we got:

$f(x)=12x^3-19x^2+13x-11$