Write the polynomial in standard form. State the name based on its degree and number in terms.

Question

TheyLuhhJae · Answer

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toga · Answer

rearrange the given polynomial -3x² + 6x³ + 7x⁻¹ as 6x³ - 3x² + 7x⁻¹. and to determine the name of the polynomial based on its degree and number of terms, then count the number of terms and find the highest degree term. If there are three terms and the highest degree term is a cubic term, then the polynomial is a cubic trinomial.

toga · Answer

@toga wrote:

rearrange the given polynomial -3x² + 6x³ + 7x⁻¹ as 6x³ - 3x² + 7x⁻¹. and to determine the name of the polynomial based on its degree and number of terms, then count the number of terms and find the highest degree term. If there are three terms and the highest degree term is a cubic term, then the polynomial is a cubic trinomial.

does this help

TheyLuhhJae · Answer

Yes thank you.

toga · Answer

@theyluhhjae wrote:

Yes thank you.

np

umm · Answer

Explained further: 
$6x^3$ has the highest exponent (cubed), so it comes first.
$-3x^2$ is next since it has a quadratic exponent.
$7x$ is the linear term.
$-1$ is a constant term, which is the lowest degree, so it comes last.

So, when you arrange these terms in descending order, you get?

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