Question

Classify the expression: 5x + 3x^2 − 7x^3 + 2

A. Linear Expression
B. Quadratic Expression C. Cubic Expression
D. Quartic Expression

Answer 1

C. Cubic expression.

Explanation:

The highest exponent is 3 ( in the term 7x^3) so it is cubic.

Answer 2

C. Cubic Expression.

Explanation:

5x + 3x^2 - 7x^3 + 2

= 3x^2 - 7x^3 + 5x + 2

= -7x^3 + 3x^2 + 5x + 2

The highest value of exponent in the equation is 3.

For a linear expression, the highest exponent is 1.

For a quadratic expression, the highest exponent is 2.

For a cubic expression, the highest exponent is 3.

For a quartic expression, the highest exponent is 4.

So, this is C. Cubic Expression.

Hope this helps!