Question

The polynomial \[ p(x)=x^4-5x^2+4 \] has:

• A. Four distinct real roots
• B. Two distinct real roots
• C. No real roots
• D. One repeated real root

Hint:

For even degree polynomials involving only even powers of \(x\), substitute: \[ y=x^2 \] to reduce the equation into a simpler quadratic form.

Answer 1

The Correct Option is A