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How do you write a polynomial in standard form, then classify it by degree and number of terms #y^3-4y+6-y^2#?

Answer 1

See the explanation

Given: #" "y^3-4y+6-y^2#

The standard form is that the highest power (index) is on the left. The as you move right the indexes become progressively less

Thus we have: #y^3-y^2-4y+6#

By the way#" " 4y" is "4y^1#. The index of 1 is not normally written. It is 'understood' to be there.

The order of the expression is that of the highest index. This this is of order 3

The number of terms is 4

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Answer 2

Hazel Anglin

To write a polynomial in standard form, arrange its terms in descending order of degree. Then, classify it by its degree and number of terms.

The polynomial (y^3 - 4y + 6 - y^2) in standard form is (y^3 - y^2 - 4y + 6).

Classification:

Degree: The highest power of the variable present in the polynomial is (3), so the degree of the polynomial is (3).
Number of terms: The polynomial has (4) terms.

So, (y^3 - y^2 - 4y + 6) is a cubic polynomial with (4) terms.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.