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pentagon [3]
3 years ago
14

Construct a polynomial function with the following properties: fifth degree, 4 is a zero of multiplicity 3, −4 is the only other

zero, leading coefficient is 4. setup problem so I can solve, thanks!!
Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0

Answer:

Step-by-step explanation:

Hello,

degree 5

4 is a zero of multiplicity 3 -> (x-4)^3 is a factor

-4 is the only other zero, so the multiplicity is 5-3=2 -> (x+4)^2 is a factor

leading coefficient is 4 so we can write

\boxed{4(x-4)^3(x+4)^2}

If there is something that you do not understand or you are blocked somewhere let us know what / where.

Thank you.

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A wire was bent into the shape of a rectangle with width 5 and length 7. If this wire is bent into shape of a square, what is th
avanturin [10]

Answer:

6 cm

Step-by-step explanation:

wire was bent into the shape of a rectangle with width 5 and length 7. If this wire is bent into shape of a square, what is the length of a side of the square

Given that:

Rectangular wire with the following dimension :

Width = 5

Length = 7

To obtain the total length of the wire :

Perimeter of rectangle :

2 (length + Width)

2 (5 + 7)

2(12)

= 24 cm

The length of each side of the square will be :

Number of sides = 4

Length of each side :

24 / 4 = 6 cm

6 0
2 years ago
I WILL GIVE BRAINLIST AND 5 STARS <br> Show that (2x + i)(2x – i) = 4x² + 1
sladkih [1.3K]

Answer:

see below

Step-by-step explanation:

(2x + i)(2x – i)

FOIL

first  2x*2x =4x^2

outer  -i * 2x = 2x i

inner i * 2x = 2x i

last i * -i = -i^2  and i^2 = -1  so - (i^2 ) = - (-1) = 1

Add together

4x^2 + 2xi -2x i +1

Combine like terms

4x^2 +1

8 0
3 years ago
Which statement about a dilation with a scale factor of 3 is true?
xxMikexx [17]

Answer:

  C.  Each side in the pre-image is multiplied by three to find the corresponding side length in the image.

Step-by-step explanation:

The scale factor multiplies every linear dimension in the pre-image. It is the ratio of image dimensions to pre-image dimensions.

So, for a scale factor of 3, each side in the pre-image is multiplied by 3.

3 0
3 years ago
Consider the following equation, bh+hr=25 when solving for h
olga2289 [7]
1.) Distribute out the h: h(b+r)=25
2.) Divide out b+r: h=25/(b+r)

The answer is 25/(b+r)
7 0
3 years ago
Read 2 more answers
Can someone please help me with this question
kondor19780726 [428]
A. 

To solve, you need to get the variable by itself. 
Order of operations:
Square root both sides.
(x-5)= plus/minus root 3, as 3 is not a perfect square.
Now you need to add 5 to both sides to get it to disappear on the side with the x.

x=root3 +or - 5, which can be rearranged so that 5 is the first term.
8 0
3 years ago
Read 2 more answers
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