All categories

2 years ago

(Algebra 2) write a polynomial function of least degree with integral coefficients that has the given zeros.

Mathematics

1 answer:

saveliy_v [14]2 years ago

6 0

Answer:

$x^{2} -2ix+3=0$ .

Step-by-step explanation:

Given the zeroes of the polynomial are

a=-i . and b=3i

The recquired polynomial is $(x-a)(x-b)=0$

On substituting the values of a and b we get

$(x+i)(x-3i)=0$

$x^{2} -3xi+ix-3i^{2}=0$

$x^{2} -2ix+3=0$ . (∵ $i^{2}=-1$ )

You might be interested in

A building is 200ft long and 140 ft wide a 1/500 model is built of the building how long and how wide is the model?

Katena32 [7]

Let's start with the length. All you need to do is multiply is by 1/500.
You could also find the decimal equivalent to 1/500.
1/500= .002
200×.002= .4
So length of the model is .4 ft.
The width:
.002×140=.28
The width of the model is .28 ft.
The length of the model is .4 ft and the width of the model is .28 ft.

4 0

2 years ago

I got c which is 100 but I don’t know how jerry got A

Anna007 [38]

Choice C is the correct answer because

$\frac{(6+2)^3-12}{5}\\\\\frac{(8)^3-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100\\\\$

So in short, $\frac{(6+2)^3-12}{5}=100\\\\$

------------------------------------------

The mistake Jerry likely made was that he only cubed the 2 and didn't realize the 6 was part of that cubing process. It seems he didn't add first and decided to cube before adding.

This is probably what steps Jerry did

$\frac{6+2^3-12}{5}\\\\\frac{6+8-12}{5}\\\\\frac{14-12}{5}\\\\\frac{2}{5}\\\\$

But as mentioned, those steps are incorrect because the 6 is part of the cubing operation. In other words, Jerry should have added the 6+2 first before cubing afterward (due to PEMDAS determining the order of operations).

Or you could think of it like this

$\frac{(6+2)^3-12}{5}\\\\\frac{(6+2)(6+2)(6+2)-12}{5}\\\\\frac{(8)(8)(8)-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100$

4 0

2 years ago

Free p0ints first come first serve

Ira Lisetskai [31]

Answer:

Tyty :)

Step-by-step explanation:

5 0

2 years ago

Seth bought a 12 - ounce jar of peanut butter for $3.60. What is the unit price?

allochka39001 [22]

Since the jar is 12 ounces, we want to find the price when it is one ounce. We do this by dividing the price, $3.60, by 12:

3.60/12 = 0.3

So, the answer is $0.30/oz, or (B).

4 0

2 years ago

Alexandria purchased a computer on sale. The original price was $1200. The sale price was 5/6 of the original price. how much di

Vaselesa [24]

I believe you ment to say sale price but I hope this helps you understand your question. The original price was 1200, and if it were 5/6 on sale (this method works for all questions like this) you would do 1200 ÷ 6 = 200 x 5 = $1000.

7 0

2 years ago