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3 years ago

How to use synthetic division to show how to methodically obtain the factors from the polynomial 2x^5+6x^4-42x^3-86x^2+192x+360

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

6 0

Okay so first you need to find your prrs which in this case would be all factors of 360 and all of the factors of 360 divided by two since the factors of two are two and one. (Which I pulled from the first x’s coefficient)

Then you do Descartes law to find out how many positives or negatives in this equation. There looks to be 2 positives and 3 or 0 negatives. Since there are guaranteed positives I’d recommend doing those first. Start from the lowest number since that’s easier and more mathematically correct and do synthetic division. (x+1) The resulting polynomial should be factorable and of not then try to synthetically divide again.

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Through(-2,-3); parallel to 3x+2y=5

Vilka [71]

Step-by-step explanation:

Hey there!

Firstly find slope of the given equation.

Given eqaution is: 3x + 2y = 5.......(i)

Now;

$slope(m1) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y}$

$or \: m1 = \frac{ - 3}{2}$

Therefore, slope (m1) = -3/2.

As per the condition of parallel lines,

Slope of the 1st eqaution (m1) = Slope of the 2nd eqaution (m2) = -3/2.

The point is; (-2,-3). From the above solution we know that the slope is (-3/2). So, the eqaution of a line which passes through the point (-2,-3) is;

(y-y1) = m2 (x-x1)

~ Keep all values.

$(y + 3) = \frac{ - 3}{2} (x + 2)$

~ Simplify it.

$2(y + 3) = - 3x - 6$

$2y + 6 = - 3x - 6$

$3x + 2y + 12 = 0$

Therefore, the eqaution of the line which passes through the point (-2,-3) and parallel to 3x + 2y= 5 is 3x + 2y +12 =0.

Hope it helps...

8 0

2 years ago

Read 2 more answers

Ok I really need help

Nataly_w [17]

for a normal triangle its (bh)/2 but this is a right triangle so you multiply the two perpendicular sides and divide it by 2

8 0

3 years ago

One senior from the high schools will be selected at random. What is the probability that the senior selected will not be from h

DochEvi [55]

Using the probability concept, it is found that there is a 0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.

<h3>What is a probability? </h3>

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that:

538 seniors responded with a choice other than college.

Of those students, 99 + 83 + 49 + 31 + 63 + 71 = 396 are not from high school b.

Hence:

$p = \frac{396}{538} = 0.7361$

0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.

You can learn more about the probability concept at brainly.com/question/26148436

8 0

2 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Debora [2.8K]

Yo sup??

you can solve this quesion by having the knowledge of trigonometric ratios

let angle B be x, then

tanx=7/3

x=66.8

Hope this helps

4 0