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Mila [183]
3 years ago
15

Which answer best describes the complex zeros of the polynomial function? f(x)=x3+x2−8x−8

Mathematics
2 answers:
lidiya [134]3 years ago
5 0

Answer:

a

Step-by-step explanation:

took the test

Valentin [98]3 years ago
4 0

we are given

f(x)=x^3+x^2-8x-8

We can use Descarte's sign rule to find number of real roots

Positive real roots:

f(x)=x^3+x^2-8x-8

we can see that number of sign changes in this function is 1

so, number of positive real root =1

Negative real roots:

Firstly, we will find f(-x)

f(-x)=(-x)^3+(-x)^2-8(-x)-8

f(-x)=-x^3+x^2+8x-8

we can see that number of sign changes in this function is 2

so, number of negative  real root =2

so, total number of real roots = number of positive real roots + number of negative real roots

total number of real roots =1+2

total number of real roots =3

Since, the degree of this polynomial is 3

so, maximum number of roots must be 3

We know that all roots are also called x-intercept because it crosses x-axis at that value

so, function will cross x-axis thrice

so, option-A.......Answer


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navik [9.2K]
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3 0
3 years ago
What is the congruence correspondence, if any, that will not prove the given triangles congruent?
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HL

Step-by-step explanation:

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4 0
3 years ago
∠U=90°, TS = 73, SU = 55, and UT = 48.
ololo11 [35]

Answer:

sin S =  is the ratio found.

Step-by-step explanation:

It is given that m∠U = 90°

TS is the hypotenuse = 73 units

UT is the adjacent side of the right angle = 48 units

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sin S =

sin S =

Plugin the values, we will get,

sin S =

So the ratio was found.

disclaimer this is not my work it is youaskianswer's work.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

Let the integers be n, n + 2 and n + 4, then

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So the integers are -1, 1 and 3.

5 0
2 years ago
Quadrilateral ABCD is a trapezoid with an area of 20 cm². Find the height of the trapezoid, h. Round the answer to the nearest t
Natalka [10]
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20 cm² = 5 * Height
Height = 4 cm


4 0
3 years ago
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