Find the Maximum Number of Real Roots y=5x^6-3x^4+2x-9

$y = 5 x^{6} - 3 x^{4} + 2 x - 9$

Step 1

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

$5 x^{6} \to 6$

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

$2 x \to 1$

$- 9 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$6$

Step 3

The maximum number of possible roots is the degree of $5 x^{6} - 3 x^{4} + 2 x - 9$ .

$6$