Write the polynomial function of least degree that has zeros of x=-i and x=1

Mathematics

1 answer:

stepan [7]2 years ago

6 0

Answer:

(x-1)(x^2 + 1)

Step-by-step explanation:

If the polynomial has two roots or zeros, then the least degree it can be is 2. But when x = -i is a root, generally x = i is a root too. Thus the degree here is 3. Using the roots, you can write the polynomial by finding a factor from each. The zeros are the solution to the factor. So if x = 1, it came from the factor x - 1. x = 1 is the solution because x - 1 = 0 is x = 1 solved.

When x = -i, i this is the result of a square root of a negative number. So x had the exponent 2. To write the factor for x = -i, you should write x^2 + 1. When solved x = +/-√-1 = +/- i.

The function is likely (x-1)(x^2 + 1).

You might be interested in

What value of g makes this equation true: g+4=-17 ?

Mice21 [21]

-21 this is because you can solve for g, to solve for you you subtract 4 from both sides and -17-4= -21

5 0

2 years ago

The relationship between goby fish and striped shrimp are truly/A symbiotic, for neither/B can survive/C

emmainna [20.7K]

The relationship between goby fish and striped shrimp are truly/A symbiotic, for neither/B can survive/C without/D the other. No error/E

The correct option is A.

Yes, it should be is.
The sentence is referring to the relationship between the fish, not the fish themselves.
Relationship is singular.

What is symbiotic explain?

Symbiosis, any of several living arrangements between members of two different species, including mutualism, commensalism, and parasitism.
Both positive (beneficial) and negative (unfavourable to harmful) associations are therefore included, and the members are called symbionts.

Learn more about symbiotic

brainly.com/question/2622358

#SPJ4

7 0

1 year ago

PLS ANSWER! Which movie has more consistent ages?

Alex

Answer:

I think B

Step-by-step explanation:

because their age group is 20-25 more of a constant age group

compared to 20-30

6 0

1 year ago

I learn maths and I don't know how to solve this problem.

Lyrx [107]

Answer:

As we get closer to x=-3, the limit is approaches -1, on both sides of -3 so this is a good limit so c is 8.

Step-by-step explanation:

In order for a limit to exists, the left side limit must exist and right side limit must exist and on top of that, they must be equal to each other.

In this case, this a piece wise function and by definition of a limit that exist, the limit of this piece wise function as x approaches 3 from either side, must be equal.

We let x=-3 for the top equation.

$( - 3) {}^{2} - 10 = - 1$