Find the Maximum Number of Real Roots 3x^4-5x^3-x^2-8x+4

$3 x^{4} - 5 x^{3} - x^{2} - 8 x + 4$

Step 1

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

$3 x^{4} \to 4$

$- 5 x^{3} \to 3$

$- x^{2} \to 2$

$- 8 x \to 1$

$4 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$4$

Step 3

The maximum number of possible roots is the degree of $3 x^{4} - 5 x^{3} - x^{2} - 8 x + 4$ .

$4$