Classify -2x⁴ - x³ + 8x² = 12 by degree.

Solution:

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number.

The exponents of the variables in any polynomial have to be a non-negative integer.

A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

The equation -2x⁴ - x³ + 8x² = 12 is polynomial in variable x which can be written as

2x⁴ +x³ - 8x² + 12 = 0

The highest power of x is 4

Hence the equation can be classified as a polynomial equation with degree 4.

Classify -2x⁴ - x³ + 8x² = 12 by degree

Summary:

-2x⁴ - x³ + 8x² = 12 can be classified as a polynomial with degree 4