All categories

3 years ago

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

Mathematics

2 answers:

inessss [21]3 years ago

7 0

2.
You will have on real root, and two complex which derives from the 3rd degree polynomial function.

Flura [38]3 years ago

3 0

Answer: 2

Step-by-step explanation:

We know that complex roots occurs only in pairs.

If f(x) is a third degree polynomial then by corollary to the fundamental theorem of algebra , it must have 3 roots.

But as complex roots occurs in pairs, thus there must be even number of complex roots.

So there is 2 complex distinct complex roots are possible in third degree polynomial.

Corollary to the fundamental theorem states that every polynomial of degree n>0 has exactly n zeroes.

You might be interested in

Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. Wh

a_sh-v [17]

Answer:

Check the explanation

Step-by-step explanation:

Let $\overline{x}$ and $\overline{y}$ be sample means of white and Jesse denotes are two random variables.

Given that both samples are having normally distributed.

Assume $\overline{x}$ having with mean $\mu_{1}$ and $\overline{y}$ having mean $\mu_{2}$

Also we have given the variance is constant

We can test hypothesis as

$H0: \mu_{1} = \mu_{2}H1: \mu_{1} > \mu_{2}$

For this problem

Test statistic is

$T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}$

Where

$s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}$

We have given all information for samples

By calculations we get

s=2.41

T=2.52

Here test statistic is having t-distribution with df=(10+7-2)=15

So p-value is P(t15>2.52)=0.012

Here significance level is 0.05

Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.

We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.

3 0

3 years ago

Out of 200 6th graders at Spinning Hills, only 6 like<br> broccoli. What percent is this?

Sunny_sXe [5.5K]

Answer:

the answer is 12

8 0

2 years ago

Read 2 more answers

Rewrite using a fractional exponent<br><br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B7%5E2%7D" id="TexFormula1" title=

tangare [24]

Answer:

$7^{\frac{1}{3} }$

Step-by-step explanation:

Using the rule of exponents

$\sqrt[n]{a^{m} }$ ⇔ $a^{\frac{m}{n} }$ , then

$\sqrt[6]{7^{2} }$ = $7^{\frac{2}{6} }$ = $7^{\frac{1}{3} }$

8 0

3 years ago

What is 4x-9+19=8x-14

yawa3891 [41]

- 4x from 8x = 4x
-9 + 19 = 4x -14
-9 + 19 = 10
10 = 4x -14
+14
24 = 4x
divide by 4
X = 6

4 0

3 years ago

Which function is a quadratic function

Pavlova-9 [17]

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola. You know that two points determine a line.

5 0

3 years ago