Let \[f(x)=7x^{11}+11x^{7}+9kx\] \[g(x)=7x^{13}+13x^{7}+10kx \]

Find the minimum positive value of \(k\) for which \(77| f(x)\) and \(91|g(x)\) for every integer \(x\)

**Details and Assumptions**

- We use "\(\mid\)" to mean "divides evenly into". For example, \(3\mid6\), and \(12\mid132\).

×

Problem Loading...

Note Loading...

Set Loading...