Question

1.
Write each polynomial in standard form.
1
-2x2 + x4 +3

Answer 1

Step-by-step explanation:

standard form:

8

x

3

−

4

x

2

+

7

x

+

2

degree:

3

number of terms:

4

Explanation:

A polynomial in standard form is the sum/difference of terms arranged in descending degree order.

The degree of a term is the exponent of the variable of the term (if there are multiple variables in the term it is the sum of the exponents).

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Answer 2

Standard form:

2

m

2

+

7

m

−

3

Degree:

2

Terms:

3

Explanation:

In standard form, these terms will be expressed from highest to lowest exponent:

2

m

2

+

7

m

−

3

Classifying by degree means to find the highest exponent of the terms, so the degree is

2

.

A term is a value split by the addition and subtraction operations, so there are

3

terms.

Hope this helps!