Let f(x) = x4 – 8x3 + 16x2 – 19 and g(x) = x - 5. Find f(x)/g(x)	Choose the correct choice from the following
A) 4  B) 5  C) 6  D) 7  E) 8
Solution:   f(x) = x4 – 8x3 + 16x2 – 19   g(x) = x – 5   f(x)/g(x) = (x4 – 8x3 + 16x2 – 19)/(x - 5)   We first need to rearrange all the terms of the dividend according to descending powers of x. The dividend then becomes x4 – 8x3 + 16x2 – 19, with 1 understood as the coefficient of the first term. No x term is there in the polynomial, but we take a zero as a place holder in the x position, so the dividend is written as x4 – 8x3 + 16x2 + 0x – 19.   We solved the division in both the ways;   (x4 – 8x3 + 16x2 + 0x – 19) ÷ (x - 5) by using synthetic division   Quotient = x3 - 3x2 + x + 5   Remainder = 6   Answer 6
<result>C</result>
Let f(x) = x4 – 8x3 + 16x2 – 19 and g(x) = x - 5. Find f(x)/g(x)