Question

Express the polynomial in standard form and then classify it

Answer 1

Given:

`x^2-x^4+2x^2`

Required:

We need to classify the given polynomial.

Step-by-step explanation:

Add the like terms that have the same variable with the same powers.

`x^2\text{ and }2x^2\text{ are like terms.}`
`x^2-x^4+2x^2=x^2+2x^2-x^4`
`x^2-x^4+2x^2=3x^2-x^4`

The standard form is

`-x^4+3x^2`

The number of terms in the given polynomial is 2.

We know that binomial contains only two terms.

We know that the degree of the polynomial is the highest power of the variable.

The degree of the polynomial is 4.

The polynomial with degree 4 is called quartic.

The given polynomial is a quartic binomial.

Final answer:

Quartic binomial