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ANTONII [103]
3 years ago
12

Form a polynomial whose real zeros and degree are given. ​zeros: negative 2−2​,negative 1−1​,44​, 55​; ​ degree: 4 type a polyno

mial with integer coefficients and a leading coefficient of 1.
Mathematics
1 answer:
prisoha [69]3 years ago
6 0
We write the polynomial in its factored form first.
 We have then:
 (x + 2) * (x + 1) * (x-4) * (x-5)
 We now rewrite the polynomial:
 (x ^ 2 + x + 2x + 1) * (x ^ 2-5x-4x + 20)
 (x ^ 2 + 3x + 1) * (x ^ 2-9x + 20)
 x ^ 4 - 9x ^ 3 + 20x ^ 2 + 3x ^ 3 - 27x ^ 2 + 60x + x ^ 2 - 9x + 20
 We now add terms of the same degree:
 x ^ 4 + (-9 + 3) x ^ 3 + (20-27 + 1) x ^ 2 + (60-9) x + (20)
 x ^ 4 + (-6) x ^ 3 + (-6) x ^ 2 + (21) x + (20)
 x ^ 4 - 6x ^ 3 - 6x ^ 2 + 21x + 20
 Answer:
 
The polynomial sought is:
 
x ^ 4 - 6x ^ 3 - 6x ^ 2 + 21x + 20
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Drag a statement or reason to each box to complete this proof.
goblinko [34]

The different statements and reasons to prove that −3(x + 8) = −21 are as detailed below.

<h3>How to utilize properties of Algebra?</h3>

Statement 1; −3(x + 8) = −21

Reason 1; Given

Statement 2; −3(x + 8)/-3 = −21/-3

Reason 2; Division property of Equality

Statement 3; x + 8 - 8 = 7 - 8

Reason 3; Subtraction Property of Equality

Statement 4; x = -1

Reason 4; Given

Read more about properties of Algebra at; brainly.com/question/855307

#SPJ1

5 0
1 year ago
a graphic designer wants to know the number of regions that are formed when circles overlap in particular. can she find a rule t
kumpel [21]

Answer:

A. 2

Step-by-step explanation:

Its successive multiples and it increases:

+2, +4, +6, +8

it increases by 2 every time which is successive multiples so the answer is A, 2.

3 0
3 years ago
HELP!!!! THIS IS DUE TOMORROW:(((
Verdich [7]
This is actually really simple algebra. All you need to know is that Y= Mx + B 
and M BEING YOUR SLOPE good luck

6 0
3 years ago
Read 2 more answers
Mr. F is buying 8 computers for the computer lab. if one computer costs $1,156, How much will the computers cost in all?
Andreas93 [3]

answer: $9248


explanation:

well, we know the cost for one, so if each computer costs the same, multiply the cost of one of them by 8 to get the total.

8 x 1,156 = 9248.

so, we can assume this is what the computers will cost in total because there seems to be no added tax or fees.


<em>i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom </em>


3 0
3 years ago
Who can explain how to do this problem -6x-12+8y+16x
Paul [167]

Answer: =10x+8y−12


Step-by-step explanation:

Let's simplify step-by-step.

−6x−12+8y+16x

=−6x+−12+8y+16x

Combine Like Terms:

=−6x+−12+8y+16x

=(−6x+16x)+(8y)+(−12)

=10x+8y+−12

Answer:

=10x+8y−12

3 0
3 years ago
Read 2 more answers
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