Algebra Examples

$P (x) = 2 x^{5} - 3 x^{4} - 5 x^{2} - 2$

Step 1

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$2 x^{5} \to 5$

$- 3 x^{4} \to 4$

$- 5 x^{2} \to 2$

$- 2 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$5$

Step 3

The maximum number of possible roots is the degree of $2 x^{5} - 3 x^{4} - 5 x^{2} - 2$ .

$5$