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3 years ago

A polynomial of degree n has _____.

Mathematics

1 answer:

vlada-n [284]3 years ago

6 0

Answer:

n roots (counting multiplicity)

Step-by-step explanation:

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity). To get from "at most" to "exactly" you need a way to show that a polynomial of degree n has at least one root. Then you can proceed by induction.

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Suppose that a function f(x) is defined for all real values of x except at xequals=c. can anything be said about the existence

Margaret [11]

we are given that

f(x) is defined for all values of x except at x=c

Limit may or may not exist

case-1:

If there is hole at x=c , then limit exist

case-2:

If there is vertical asymptote at x=c , then limit does not exist

Examples:

case-1:

$\lim_{x \to c} \frac{x^2-cx}{(x-c)}$

We can simplify it

$\lim_{x \to c} \frac{x(x-c)}{(x-c)}$

$=\lim_{x \to c} x$

$=c$

so, we can see that limit exist and it's value defined

case-2:

$\lim_{x \to c} \frac{1}{(x-c)}$

Left limit is

$\lim_{x \to c-} \frac{1}{(x-c)}$

$=-\infty$

Right Limit is

$\lim_{x \to c+} \frac{1}{(x-c)}$

$=+\infty$

so, we can see that left limit is not equal to right limit

so, limit does not exist

4 0

3 years ago

Sally is shopping for diapers and sees a box with 216 diapers for \$39.98 and a box with 88 diapers for \$24.99 . Which option h

Mekhanik [1.2K]

The first step is to find out the value of one diaper for each equation

39.98/216 = 0.18
Therefore one diaper is for 0.18 cents

24.99/88 = 0.28
Therefore one diaper is for 0.28 cents

At the end the first deal is better

7 0

3 years ago

Read 2 more answers

Find the missing numerator that will make the rational expressions equivalent.

Tomtit [17]

The missing numerator that will make the rational expressions equivalent is (82x + 7) / (12x + 42)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the missing numerator, hence:

82x + 7 = y * 6(2x+7)

82x + 7 = y * (12x + 42)

y = (82x + 7) / (12x + 42)

Find out more on equation at: brainly.com/question/2972832

6 0

3 years ago

Which fraction is equivalent to 15 + 80?<br> 15(1+4)<br> 4(4 + 20)<br> 3(5 + 20) <br> 5(3+16

Reil [10]

Answer:

the fraction equivalent to 15+80 is 5(3+16)

Step-by-step explanation:

To check out work we can multiply the term outside the parenthesis with the term inside of it. So 5 times 3 is 15 and 5 times 16 is 80. Or also 15+80. That is the same as the expression above so that means 5(3+16) is equivalent to 15+80

5 0

3 years ago

Kay spends 250 min/wk exercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minut

svetoff [14.1K]

Time spent on aerobics is 150 minutes per week and time spent on weight training is 100 minutes per week

Solution:

Given that,

Kay spends 250 min/wk exercising

Therefore,

Exercising = 250 minutes per week

Ratio of time spent on aerobics to time spent on weight training is 3 to 2

Aerobics : weight training = 3 : 2

Let the time spent on aerobics be 3x

Let the time spent on weight training be 2x

Thus,

3x + 2x = 250

5x = 250

x = 50

Thus,

Time spent on aerobics = 3x = 3(50) = 150

Time spent on weight training = 2x = 2(50) = 100

Thus, Time spent on aerobics is 150 minutes per week and time spent on weight training is 100 minutes per week

7 0

3 years ago

A polynomial of degree n has _____.​

A polynomial of degree n has _____.