Hello everyone,
Going through calculus study, there is a vague point regarding polynomials I'd like to make clear.
Say there's a polynomial ##f## with a root at ##a## with multiplicity ##2##, i.e. ##f(x)=(x-a)^2g(x)## where ##g## is some other polynomial. I define ##h(x)=\frac {f(x)} {x-a}##...
Homework Statement
Define {x \choose n}=\frac{x(x-1)(x-2)...(x-n+1)}{n!} for positive integer n. For what values of positive integers n and m is g(x)={{{x+1} \choose n} \choose {m}}-{{{x} \choose n} \choose {m}} a factor of f(x)={{{x+1} \choose n} \choose {m}}?
Homework Equations
The idea...
Mod note: Moved from a technical math section, so missing the template.
I have this question and the answer but my mathXL does not show me how it came to this conclusion.
(4s3+4s2 + 72)/ s+3
I got all the way to the answer 4s2 - 8s
The correct answer is 4s2 - 8s + 24
I just don't know the...