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Flauer [41]
3 years ago
13

Which answer best describes the complex zeros of the polynomial function?

Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

<u>Answer-</u>

<em>D. The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.</em>

<u>Solution-</u>

The given polynomial is,

f(x)=x^3-x^2+6x-6

The zeros of the polynomials are,

\Rightarrow f(x)=0

\Rightarrow x^3-x^2+6x-6=0

\Rightarrow x^2(x-1)+6(x-1)=0

\Rightarrow (x^2+6)(x-1)=0

\Rightarrow (x^2+6)=0,(x-1)=0

\Rightarrow x=\sqrt{-6},\ x=1

\Rightarrow x=1,\ \pm \sqrt6i

Therefore, this function has only one real zero i.e 1 and two nonreal zeros i.e ±√6i . The graph of the function intersects the x-axis at exactly one location i.e at x = 1

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What is the following quotient? sqrt6+sqrt11/sqrt5+sqrt3​
Gnoma [55]

Answer:

√30-√18+√55-√33/2

Step-by-step explanation:

What is the following quotient? sqrt6+sqrt11/sqrt5+sqrt3​

Given the expression

√6+√11/√5+√3

Rationalize

√6+√11/√5+√3 × √5-√3/√5-√3

= √30-√18+√55-√33/√25-√9

= √30-√18+√55-√33 /5-3

= √30-√18+√55-√33/2

This gives the required quotient

6 0
3 years ago
What are the steps, in order, needed to solve 3x + 4 = 13?
Ipatiy [6.2K]

Answer:

3

Step-by-step explanation:

First, subtract 4 from both sides. When you do this, that leaves you with: 3x=9. Then, divide 9 by 3 to get x by itself. x=3

5 0
3 years ago
Read 2 more answers
If 4x+7=12 what is the value of 8x+3
Valentin [98]

There is actually 2 ways to solve this, I will show you both.

The first is obvious, solve for x in the first one, and plug it into the 2nd one and get the answer

4x + 7 = 12

4x = 5

x = \frac{5}{4}

8(\frac{5}{4}) + 3

2 * 5 + 3

10 + 3

13

The 2nd option is to manipulate the 4x + 7 to be 8x + 3

4x + 7 = 12

start by moving the 7 over

4x = 5

multiply both sides by 2

8x = 10

and add 3 to both sides

8x + 3 = 13

7 0
3 years ago
Read 2 more answers
The moon is about 240,000 miles from Earth. What is the distance written as a whole number multiplied by a power of ten?
ololo11 [35]

We need to find 240,000 written as a whole number multiplied by a power of ten.

We need to get rid of the four zeros behind 24 in 240,000.

24 would be our whole number.

We would need to multiply 24 by 10,000 to get 240,000.

10,000 is equal to 10^{4} because there are 4 zeros. Ex. when multiplying 200 by 30, we first multiply 2 * 3 then we add 3 zeros to the end of  6. So for 10*10*10*10, we add 4 zeros to the end of 1 which equals 10,000.

So the answer would be 24 × 10^{4}

7 0
3 years ago
Question 7 of 10 What is the sum of the first five terms of a geometric series with a1 = 10 and r = 1/5?​
enot [183]

Answer:

12.496

Step-by-step explanation:

\text{Sum}=\frac{a*(1-r^n)}{1-r}\\\text{Here a=10, r=1/5, plugging them in the above formula we get}\\\text{Sum}=\frac{10*(1-(1/5)^5)}{1-(1/5)}\\\text{Sum}=\frac{1562}{125}=12.496

5 0
3 years ago
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