Classify the expression: 5x + 3x2 − 7x3 + 2.

Linear expression
Quadratic expression
Cubic expression
Quartic expression

Cubic Expression

Step-by-step explanation:

5x + 3x² − 7x³ + 2

-7x³ + 3x² + 5x + 2

Highest power/ degree of the polynomial is 3, so it's cubic

There are two real number solutions.
The number of real solutions is shown by the number of times the graph intersects the x-axis. The graph of f(x) = x^3 - 3x^2 + 4 passes through x = -1, and bounces off x = 2. This means that x = -1 is a solution, and x = 2 is also a solution (of multiplicity 2).