Find the Maximum Number of Real Roots f(x)=-1.22x^4-x^3+x^2-2x+4

$f (x) = - 1.22 x^{4} - x^{3} + x^{2} - 2 x + 4$

Step 1

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

$- 1.22 x^{4} \to 4$

$- x^{3} \to 3$

$x^{2} \to 2$

$- 2 x \to 1$

$4 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$4$

Step 3

The maximum number of possible roots is the degree of $- 1.22 x^{4} - x^{3} + x^{2} - 2 x + 4$ .

$4$