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IgorLugansk [536]
3 years ago
6

Order the numbers from least to greatest. a –8, −10, 0, 5, 1, −1, 3, −6, −9, −19, 32

Mathematics
2 answers:
krek1111 [17]3 years ago
6 0
Start with -19, -10, -9,-8,-6,-1,0,1,3,5,32
IRINA_888 [86]3 years ago
5 0

Answer:

-19,-10,-9,-8,-6,-1,0,1,3,5,32

Step-by-step explanation:

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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)

P(x)=(x-4)(x+4)(x^2-(4i)^2)           [\because a^2-b^2=(a-b)(a+b)]

On further simplification, we get

P(x)=(x-4)(x+4)(x^2-4^2i^2)

P(x)=(x-4)(x+4)(x^2+16)                [\because i^2=-1]

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

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2 years ago
Pls help I forgot how to solve this kind of problem
Maslowich

Answer:

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Step-by-step explanation:

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Find the axis of symmetry and the vertex of the graph of f(0) = 4x^2 - 8x +3.
olganol [36]

Answer:

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Step-by-step explanation:

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Artyom0805 [142]

Answer:

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Step-by-step explanation:

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