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Fittoniya [83]
2 years ago
11

Which expression is a polynomial? –13

Mathematics
1 answer:
olasank [31]2 years ago
5 0

Polynomials are <em>algebraic</em> expressions whose <em>standard</em> form is defined below:

p(x) = \sum \limit_{i=0}^{n} c_{i}\cdot x^{i}

The expression p(x) = - 13 represents a <em>zeroeth</em> polynomial.

<h3>What is a polynomial?</h3>

Herein we must present what the form of polynomials are. Polynomials are <em>algebraic</em> expressions whose <em>standard</em> form is defined below:

p(x) = \sum \limit_{i=0}^{n} c_{i}\cdot x^{i}     (1)

Where:

  • c_{i} - i-th coefficient
  • n - Grade
  • x - Independent variable

An example is the expression p(x) = - 13, <em>real </em>numbers can be define as <em>zeroeth</em> polynomials. In this regard, the example can be seen as:

p(x) = 0 · xⁿ + 0 · xⁿ⁻¹ + ... + 0 · x² + 0 · x - 13

<h3>Remark</h3>

The statement is incomplete. We decided to re-define the statement to what polynomials are.

To learn more on polynomials: brainly.com/question/11536910

#SPJ1

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What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?
MrRissso [65]
The y value of the vertex is 121. 

We can find this by first finding the x value of the vertex. The x value of the vertex in a quadratic equation will always be half way between the two zeros. We can find the zeros by setting each parenthesis equal to 0 and solving for x. 

Zero #1
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Zero #2
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Since we know that the x value of the vertex must be in the middle of these two, we can take the average of them to find it. 

(-8 + 14)/2 = 3

So the x value is 3. Now we can plug that into the equation for all of the x's to get the y value. 

f(x) = -(x + 8)(x - 14)
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