All categories

3 years ago

What is the degree of the simplest polynomial function with zeros at the square root of 3, 4i, and -2.

Mathematics

1 answer:

stealth61 [152]3 years ago

5 0

Answer:

Degree of polynomial → 4

Step-by-step explanation:

Conjugate roots theorem states that if a polynomial has a root (a + ib), then (a - ib) will be the other root.

In this question it has been given that a polynomial function has the zeros (roots) as x = $\sqrt{3}$ , 4i and -2.

Therefore, the given polynomial will have four roots, $\sqrt{3}$ , 4i, -4i and -2.

Function will be f(x) = (x - $\sqrt{3}$ )(x + 4i)(x - 4i)(x + 2)

Degree of the polynomial → 4

You might be interested in

The function y = -2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x ist the price of a hot

Blababa [14]

Answer:

Option A The zeros are the hot dog prices that give $0.00 profit (no profit)

Option C. Zeros at $x=3(+/-)\sqrt{2}$

Step-by-step explanation:

we know that

The zeros of the function are the values of x when the value of y is equal to zero

In this problem

The zeros of the function are the price of a hot dog (in dollars) when the daily profit (in hundreds of dollars) of a hot dog stand are zero

we have

$y=-2(x-3)^{2}+4$

Find the zeros

equate the equation to zero

$0=-2(x-3)^{2}+4$

$2(x-3)^{2}=4$

$(x-3)^{2}=2$

square root both sides

$x-3=(+/-)\sqrt{2}$

$x=3(+/-)\sqrt{2}$

6 0

4 years ago

Divide 300 in a ratio of 3/7

Talja [164]

in short, we simply divide the whole 300 by (3+7), to get in a 3:7 ratio, and then distribute accordingly.

$\bf 300\qquad 3:7\qquad \cfrac{3}{7}~\hspace{5em}\cfrac{3\cdot \frac{300}{3+7}}{7\cdot \frac{300}{3+7}}\implies \cfrac{3\cdot 30}{7\cdot 30}\implies \cfrac{90}{210}\implies 90:210$

7 0

3 years ago

Is this a relation: {(-2,1), (0,0), (0,1), (1,-2), (1,0), (1,3), (2,0)}? Explain why or why not.

tatiyna

It is a relation because any relation is simply a set of (x,y) values known as points or ordered pairs. There are no other qualifications needed to be a relation. We simply pair up any x and y value we want.

I think you meant to ask if it's a function or not. If so, then the answer is "no, it is not a function". Why not? Because the x value x = 0 produces more than one y output y = 1 and y = -2. Graph these points and you'll see them fail the vertical line test (ie its possible to draw a vertical line through more than one point on the graph). The same issue happens with (1,-2), (1,0) and (1,3) as well.

In summary:

Yes it is a relation

No it is not a function

The reasoning for each is stated above

4 0

4 years ago

Suppose 38 lbs of coffee beans are required to produce 2 lbs of

11111nata11111 [884]

Answer:

8550 pounds of coffee beans

Step-by-step explanation:

450 divided by 2= 225

38 times 225= 8550

5 0

3 years ago

55+p=105 What is the variable

natta225 [31]

55+p=105
subtract 55 from both sides
p=50
MAGIC

8 0

4 years ago

Read 2 more answers