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morpeh [17]
2 years ago
5

Help please the question is in the photo

Mathematics
1 answer:
GarryVolchara [31]2 years ago
6 0
First one (ignore22222323333333)
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The polynomial equation x^4 + x^3 + x^2 + x + 1 = 0 has zero positive real roots. Please select the best answer from the choices
const2013 [10]

There are zero positive real roots for the given polynomial equation x^4 + x^3 + x^2 + x + 1 = 0. This is explained by Descarte's rule of signs. So, the best choice is T (true).

<h3>What is Descarte's rule of signs?</h3>
  • Descarte's rule of signs tells about the number of positive real roots and negative real roots.
  • The number of changes in signs of the coefficients of the terms of the given polynomial f(x) gives the positive real zeros of the polynomial.
  • The number of changes in signs of the coefficients of the terms of the given polynomial when f(-x) gives the negative real zeros of the polynomial.

<h3>Calculation:</h3>

The given polynomial equation is x^4 + x^3 + x^2 + x + 1 = 0

On applying Descarte's rule of signs,

f(x)=x^4 + x^3 + x^2 + x + 1

Since there are no changes in the signs of the coefficients of any of the terms in the above polynomial, the polynomial has no positive real roots.

f(-x)=(-x)^4+(-x)^3+(-x)^2+(-x)+1\\      = x^4-x^3+x^2-x+1

Since there are four changes in the signs of the coefficients of the terms of the given polynomial when f(-x), the polynomial has 4 negative real roots.

Therefore, the given polynomial equation has zero positive real roots. So, the correct choice is T(true).

Learn more about Descarte's rule of signs here:

brainly.com/question/11590228

#SPJ1

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What sports do you play?​
slavikrds [6]

Answer:

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Step-by-step explanation:

also known as soccer

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On a coordinate plane, a triangle is reflected across y = negative 2.
AleksandrR [38]

Answer:

The answer will be D.y=-2

Step-by-step explanation:

The reflection line is the fixed line that a shape or figure is reflected across of. The problem tells you that the triangle is reflected across y=-2

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What type of line would the equation<br> y &lt; 7x + 8 have?<br> A dashed line or<br> A solid line?
-BARSIC- [3]

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A dashed line

Step-by-step explanation:

Because it is just a less than sign but if it was a less than or equal to it would be a solid line.

Hope That Helped :)    

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Which equation represents a linear function? Equation 1: y = 2x + 1 Equation 2: y2 = 3x + 1 Equation 3: y = 5x5 − 1 Equation 4:
Andreyy89
Equation 1 represents a linear function.
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