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ExtremeBDS [4]
3 years ago
14

what is remainder theorem ? explain how to use remainder thereom and factor theorem for linear polynomial .

Mathematics
1 answer:
elena55 [62]3 years ago
8 0
Basically the Remainder theorem states  that the remainder of dividing a polynomial P(x) by (x - a) is given by P(a).

So for example if we divide  x^ 2 - 2x + 7  by x - 2  the remainder  will be 
2^2 - 2(2) + 7  =  7.. 

If the remainder is 0 then the divisor will be a factor of the polynomial.  This is the Factor Theorem and can be used to test if a given polynomial has a factor  x-a.
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Given the following triangle,solve for angle C
Anestetic [448]
The answer is 56 since you do 34 plus 90 and subtract that from 180
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3 years ago
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Draw your own rectangle, with an area of 24 square units, on the coordinate plane. Then, identify the vertices of your rectangle
Gnoma [55]

Answer:

First you should remember that the formula for calculating area of a rectangle is;

Area=Length × width

You can decide to have a rectangle with different dimensions provided the area is 24 square unit

For this case, lets choose a rectangle with vertices at (1,0), (7,0),(1,4), (7,4)

After plotting these coordinates, you will notice your rectangle has a length of 6 units and a width of 4 units

A single unit is 1 square unit.When you Count the number of units inside the rectangle formed you realize you have 24 units covered inside

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3 years ago
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A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an
Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a)    10% of all adult Americans support the changes

Here, np>5\ and\ n(1-p)>5

And , p=0.10

So, consider the equality, to find the value of 'n'.

np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50

So, there are 50-35=15 more adult Americans needed.

(b)   15% of all adult Americans supports the changes

Here, p=0.15

So, again we get that

np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34

So, there are 35-34=1 more adult Americans needed.

Hence, a) 15, b) 1.

5 0
3 years ago
What is 16500 rounded to the nearest ten thousand?
frosja888 [35]
16500 Rounded to the nearest ten thousand is 20,000
4 0
3 years ago
Need accurate answers immediately geometry
FrozenT [24]

Answer:

I Believe that your answer is D. Sorry if i'm wrong.

Step-by-step explanation:

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