Question

Classify the following polynomial as linear, quadratic, cubic and biquadratic polynomial:

$7x^4+5x^3+7x^2-2$

Answer 1

Classifying the given polynomial:

Degree of polynomial: If a polynomial is in one variable, the highest power of the polynomial is called degree of the polynomial.

Biquadratic Polynomial: A polynomial of degree four, is called biquadratic polynomial.

Since the given polynomial $7x^4+5x^3+7x^2-2$ is a polynomial in one variable $\left(x\right)$ and of degree $4$, it is a biquadratic polynomial.

Hence, $7x^4+5x^3+7x^2-2$ is a biquadratic polynomial.