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3 years ago

If f(x) is a third degree polynomial function, how many distinct complex roots are possible?

Mathematics

2 answers:

seraphim [82]3 years ago

5 0

Answer:

A: 0 or 2

Step-by-step explanation:

on edge

monitta3 years ago

3 0

Answer:

0 or 2

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree n has n roots.

Since degree 3 then there are 3 possible roots

Since complex roots occur in conjugate pairs then

There can be 0 or 2 complex roots.

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Ardem collected data from a class survey. He then randomly selected samples of five responses to generate four samples.

scoundrel [369]

Solution: The sample mean of sample 1 is:

$\bar{x}=\frac{4+5+2+4+3}{5}= \frac{18}{5}=3.6$

The sample mean of sample 2 is:

$\bar{x}=\frac{2+2+6+5+7}{5}= \frac{22}{5}=4.4$

The sample mean of sample 3 is:

$\bar{x}=\frac{4+6+3+4+1}{5}= \frac{18}{5}=3.6$

The sample mean of sample 4 is:

$\bar{x}=\frac{5+2+4+3+6}{5}= \frac{20}{5}=4$

The minimum sample mean of the four sample means is 3.6 and maximum sample mean of the four sample means is 4.4.

Therefore, using his four samples, between 3.6 and 4.4 will Ardem's actual population mean lie.

Hence the option 3.6 and 4.4 is correct

6 0

3 years ago

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Given that f(x)= 3x^2-5x +3 and g(x)= -x^2 + 17 find (f-g) (x)

Sliva [168]

4x^2-5x-14 is your answer :)

3 0

3 years ago

What is the average bowling score

Sveta_85 [38]

Answer:

77 is the average bowling score

6 0

3 years ago

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Anyone know the answer??

Serggg [28]

Answer:

the second option

Step-by-step explanation:

in ax²+bx+c = 0:

$x = \frac{-b+-\sqrt{b^2-4ac} }{2a}$

subtract both sides by 6 to get to this form, as the right side will be left with 0

6x² + 8x - 6 = 0

here, the coefficient for x² (a) is 6, the coefficient for x (b) is 8, and the remaining number added on (c) is -6

plugging our numbers into the formula, we get

$x = \frac{-8+-\sqrt{(-8)^2-4(6)(-6)} }{2(6)}\\= \frac{-8+-\sqrt{64-(-144)} }{12} \\= \frac{-8+-\sqrt{208} }{12} \\ = \frac{-8+\sqrt{208} }{12} or \frac{-8-\sqrt{208} }{12}\\= 0.53518375848 or -1.86851709182\\= approximately -1.87, 0.54$

8 0

2 years ago

Help please if you can

r-ruslan [8.4K]

Answer:

i cant

Step-by-step explanation:

8 0

3 years ago

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