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Lyrx [107]
3 years ago
7

Graph and Label the Points on the coordinate plane below

Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0
In order to graph these, you need to understand the X and Y axis.

The X-Axis contains the first number in your ordered pair, and goes left, right (horizontally) for example the first ordered pair you have.

(2,5 1/2). To do this, move 2 spaces to the right on your X-axis. now go 5 and a half spaces up, and plot the point.


(-2 1/2, 0.5) For this one, you move 2 and a half spaces to the left on the X-axis, and half a space up. put a point there.


(3.5, -4 1/2) move 3 and a half spaces to the right on your X-axis, and go 4 and a half spaces down. put a point there.

let me know if you have questions! :)
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Find the​ fourth-degree polynomial function with zeros 4​, -4, 4i ​, and -4i . Write the function in factored form.
Iteru [2.4K]

Given:

A fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i .

To find:

The fourth-degree polynomial  function in factored form.

Solution:

The factor for of nth degree polynomial is:

P(x)=(x-a_1)(x-a_2)...(x-a_n)

Where, a_1,a_2,...,a_n are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i. So, the factor form of given polynomial is:

P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))

P(x)=(x-4)(x+4)(x-4i)(x+4i)

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On further simplification, we get

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Therefore, the required fourth degree polynomial is P(x)=(x-4)(x+4)(x^2+16).

6 0
3 years ago
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