Tricky Algebra! (Are 1 & -1 somehow related?)

Algebra Level 5

\[\large f\left( x \right) ={ x }^{ 6 }+a{ x }^{ 5 }+b{ x }^{ 4 }{ +x }^{ 3 }{ +bx }^{ 2 }+a{ x }^{ 1 }+1{ x }^{ 0 }\] If 1 is a root of \(f(x)\) while -1 is not, then what is the maximum number of distinct real roots that \(f(x)\) can have?

×

Problem Loading...

Note Loading...

Set Loading...