Question

FInd the degree of the following polynomials:-

1. a³x⁵ + a²x³ + ax² + 9

2. x³/x + root2x + 5

3. x(x² - 2x - 1)

4. p²(p³ + 1)

Answer 1

1) Here , since the highest degree is 5. so the degree of the given polynomial is 5.
2) The given polynomial is $\frac{x^3}{x}+\sqrt{2}x+5$ which can be re-written as $x^2+\sqrt{2}x+5$.
Here the highest degree is 2. So the degree of this polynomial is 2.
3) The given polynomial is $x\left(x^2-2x-1\right)$ which can be re-written as $x^3-2x^2-x$
Here the highest degree is 3. So the degree of this polynomial is 3.
4) The polynomial $p^2\left(p^3+1\right)$ can be re-written as $p^5+p^2$
Here the highest degree is 5. So the degree of the polynomial is 5.