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BartSMP [9]
3 years ago
14

Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points) Part B: Explain th

e closure property as it relates to polynomials. Give an example. (5 points)
Mathematics
1 answer:
OleMash [197]3 years ago
6 0

Answer:

look down

Step-by-step explanation:

Part A

5x 3y^3 2z

I know it is in standard form because there are no more like terms.

Part B: The closure property with regards to polynomials states that polynomials are always closed under multiplication. The coefficients and the exponents can change unlike in addition and subtraction. The variables and coefficients also automatically fit in a polynomial.

Example of multiplication under polynomials.

A*1 = A

A = 6,

6*1=6

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Solve the equation: k^2+5k+13=0
mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}  \\

From the question

a = 1 , b = 5 , c = 13

So we have

k =  \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)}  \\  =  \frac{ - 5 \pm \sqrt{25 - 52} }{2}  \\  =  \frac{ - 5 \pm \sqrt{ - 27} }{2}  \:  \:  \:  \:  \:  \:  \\  =  \frac{ - 5  \pm3 \sqrt{3}  \: i}{2}  \:  \:  \:  \:  \:  \:

<u>Separate the solutions</u>

k_1 =  \frac{ - 5 + 3 \sqrt{3} \: i }{2}  \:  \:  \:  \: or \\ k_2 =  \frac{ - 5 - 3 \sqrt{3}  \: i}{2}

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

k_1 =  -  \frac{5}{2}  +  \frac{3 \sqrt{3} }{2}  \: i \:  \:  \:  \: or \\ k_2 =  -  \frac{5}{2}  -  \frac{3 \sqrt{3} }{2}  \: i

Hope this helps you

8 0
3 years ago
Luisa buys a plane ticket that has an original price of $240. She uses a coupon code to get a 30% discount off of the original p
laiz [17]

Answer:

179.76$

Step-by-step explanation:

........

........

6 0
3 years ago
Read 2 more answers
The length of a rectangle is 3.7 inches when rounded to the nearest tenth of an inch.
Lilit [14]

Answer:

hi how are you doing?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A stick is 9 m long. A rope is 2 times as long as the stick. If the rope is divided into 3 pieces, how many meters long is each
givi [52]
The length of rope(consist of 3 pieces)=9*2=18m
One piece=18/3=6m
Pls mark me as the Brainliest as I really need it!
6 0
3 years ago
Read 2 more answers
The inequalities x + 3 &lt; -5 and -x &gt; -8 are the same.<br><br> True False
trapecia [35]

Answer:

False

Step-by-step explanation:

x + 3 < -5

x < -8

-x > -8

x < 8

Both aren't same

3 0
3 years ago
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