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Naya [18.7K]
3 years ago
13

The quotient of 18 and a number a

Mathematics
1 answer:
irina [24]3 years ago
8 0

Answer:

18÷n or 18a

Step-by-step explanation:

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The table of values below represents a linear function and shows the height of a tree since it was transplanted. What was the he
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I need this asap!<br> Will mark as brainlyest
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Answer:

<em>I'm not 100% sure but I think 3 days.</em>

Step-by-step explanation:

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How could you use Descartes' Rule and the Fundamental Theorem of Algebra to predict the number of complex roots to a polynomial,
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Answer:

Descartes' rule states that the possible number of the positive roots of a polynomial is equal to the number of sign changes in the coefficients of the terms or less than the sign changes by a multiple of 2.

The Fundamental Theorem of Algebra states that every polynomial equation over the field of complex numbers of degree higher than 1 has a complex solution, furthermore any polynomial of degree n has n roots.  

Remember that the complex numbers include the real numbers.

Suppose we are given the polynomial x^3+3x^2-x-x^4-2, we arrange the terms of the polynomial in the descending order of exponents:

-x^4+x^3+3x^2-x-2, count the number of sign changes, there are 2 sign changes in the polynomial, so the possible number of positive roots of the polynomial is 2 or 0.

returning to our polynomial above, -x^4+x^3+3x^2-x-2, it has degree 4 and so has n roots. Note that complex roots always come in pairs, so here is what can be said from these two rules:  

degree 1 has 1 real root

degree 2 has 2 real roots or 2 complex roots

degree 3 has 3 real roots or 1 real root and 2 complex roots

degree 4 has 4 real roots or 2 real roots and 2 complex roots  

note that if the degree is odd, there will be at least 1 real root

Step-by-step explanation:

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