Question

write an expression in standard form, then classify each expression based on degree and number of terms

Answer 1

The expression
`5x^3 - 2x^2 + 7x - 3` can be classified as follows:

Degree: 3

Number of terms: 4

How to write an expression in standard form

To write an expression in standard form, arrange the terms in descending order of their degree and combine like terms, if any.

Then, classify the expression based on its degree (highest power of the variable) and the number of terms it contains.

Consider an example of expression:

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

To write this expression in standard form, rearrange the terms:

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

Now, classify this expression based on its degree and number of terms:

Degree:

The degree of an expression is determined by the highest power of the variable present.

Since the highest power of x is 3, so the degree of the expression is 3.

Number of terms:

The number of terms in an expression is determined by the number of separate algebraic terms it contains.

In the given expression, there are four separate terms:
`5x^3, -2x^2, 7x,\ and\ -3`.

Therefore, the expression
`5x^3 - 2x^2 + 7x - 3` can be classified as follows:

Degree: 3 (cubic)

Number of terms: 4