Exit fullscreen mode

Polynomials & Rational Functions

Review question

When is $n^2 x^{2n+3} - 25n x^{n+1} + 150x^7$ divisible by $x^2-1$?
Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7036

Printable/supporting materials Printable version Fullscreen mode Teacher notes

Question

The polynomial

\[n^2 x^{2n+3} - 25n x^{n+1} + 150x^7\]

has \(x^2 - 1\) as a factor

for no values of \(n\),
for \(n=10\) only,
for \(n=15\) only,
for \(n=10\) and \(n=15\) only.