IXL - Descartes' Rule of Signs (Precalculus practice)

According to Descartes' Rule of Signs, can the polynomial function have exactly 0 positive real zeros? Choose your answer based on the rule only.

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yes

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According to Descartes' Rule of Signs, can the polynomial function have exactly 0 positive real zeros? Choose your answer based on the rule only.

(

)

yes

Descartes' Rule of Signs

(

)

is a polynomial function with real coefficients and is written in descending order of degree:

Count how many times the coefficients of

(

)

change sign.

It can be helpful to use a table.

Write the terms of the polynomial in descending order of degree.

The coefficients all have the same sign. So,

(

)

cannot have any positive real zeros.

So, the answer is

yes.

The polynomial function can have 0 positive real zeros.

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