Algebra Examples

f (x) = 5 x^{4} + 16 x^{3} + 16

$f (x) = 5 x^{4} + 16 x^{3} + 16$

Step 1

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

5 x^{4} \to 4

$5 x^{4} \to 4$

16 x^{3} \to 3

$16 x^{3} \to 3$

16 \to 0

$16 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

4

$4$

Step 3

The maximum number of possible roots is the degree of

5 x^{4} + 16 x^{3} + 16

$5 x^{4} + 16 x^{3} + 16$ .

4

$4$

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