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Rzqust [24]
3 years ago
6

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(

x)?
A) 3, 4, 5, 6
B) 3, 4, 5, 6i
C) 3, 4, 4+sqrt6i, 5+sqrt6
D) 3, 4, 5 + i, –5 + i
Mathematics
2 answers:
cluponka [151]3 years ago
8 0

Answer:

the answer is A

Step-by-step explanation:

Paha777 [63]3 years ago
3 0

Answer:

Option A.

Step-by-step explanation:

The polynomial function f(x) is a fourth degree polynomial.

According to complex conjugate root theorem, if a complex number (a+ib) is a root of a polynomial hen its conjugate (a-ib) is also a root of that polynomial.

In option A, all roots are real numbers, so it can be the list of all zeros of the fourth degree polynomial.

In option B, 6i is a root of f(x). By complex conjugate root theorem -6i is also a root of f(x), which is not given. So, option B is incorrect.

In option C, 4+\sqrt{6}i is a root of f(x). By complex conjugate root theorem 4-\sqrt{6}i is also a root of f(x), which is not given. So, option C is incorrect.

In option D, 5+i is a root of f(x). By complex conjugate root theorem 5-i is also a root of f(x), which is not given. So, option D is incorrect.

Therefore, the correct option is A.

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Negative 3 less then 4.9 times a number, x, is the same as 12.8
NNADVOKAT [17]

Answer: (4.9x) - 3

Step-by-step explanation: the reason i didn't add an extra line thing is because the negative becomes the minus. the 4.9 is self evident

6 0
3 years ago
Estimate the quotient for the following problem 645 divided by 69
vampirchik [111]
9.285714285714286 645=650 69=70
6 0
3 years ago
Draw a
valentinak56 [21]

Answer: B

Step-by-step explanation:

The maximum is 100 and the minimum is 27.

  • The only option that shows this is B.
3 0
2 years ago
Is the relationship shown by the data linear? How can you tell if it is or is not? If so, model the data with an equation.
Marat540 [252]

Answer:

linear and y = 2x + 19

Step-by-step explanation:

the x- values increment by 2 and the values of y increment by 4

This indicates a linear relationship exists in the form

y = mx + c ( m is the slope and c the y-intercept )

m = \frac{rise}{run} = \frac{4}{2} = 2

y = 2x + c ← is the partial equation

to find c use any ordered pair from the table

using (- 5, 9 ), then

9 = - 10 + c ⇒ c = 9 + 10 = 19

y = 2x + 19 ← linear equation

As a check

x = - 7 : y = - 14 + 19 = 5 ← correct value of y

x = - 5 : y = - 10 + 19 = 9 ← correct value of y

x = - 3 : y = - 6 + 19 = 13 ← correct value of y

x = - 1 : y = - 2 + 19 = 17 ← correct value of y


4 0
3 years ago
2x + 2y = -2<br> 3x - 2y = 12<br> Solve By Elimination<br> Pls give me the hole equation
Sholpan [36]

Answer:

x = 2

y = -3

Step-by-step explanation:

2x + 2y = -2, then 2y = -2 - 2x

3x - 2y = 12, then 2y = 3x - 12

so:

-2 - 2x = 3x - 12

add 2x and 12 to each side of the equation:

5x = 10

divide both sides by 5:

x = 2

2y = 3(2) - 12

2y = -6

divide both sides by 2:

y = -3

8 0
3 years ago
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