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hichkok12 [17]
3 years ago
14

Explain one of the theorems that you would use to find the zero of higher degree polynomial

Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0
The zeros of a function f(x) are the values of x that cause f(x) to be equal to zero
One of methods to find the zeros of polynomial functions is The Factor Theorem

It is used to analyze polynomial equations. By it we can know that there is a relation between factors and zeros.

let:  f(x)=(x−c)q(x)+r(x)

If c is one of the zeros of the function , then the remainder r(x) = f(c) =0
 and f(x)=(x−c)q(x)+0 or f(x)=(x−c)q(x)

Notice, written in this form, x – c is a factor of f(x)
the conclusion is:  if c is one of the zeros of the function of f(x),
then x−c is a factor of f(x)

And vice versa , if (x−c) is a factor of f(x), then the remainder of the Division Algorithm f(x)=(x−c)q(x)+r(x)  is 0. This tells us that c is a zero for the function.

So, we can use the Factor Theorem to completely factor a polynomial of degree n into the product of n factors. Once the polynomial has been completely factored, we can easily determine the zeros of the polynomial.

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3 0
3 years ago
Help asap i will give brainliest;)
Murljashka [212]

Answer:

Simple the area is 88

Step-by-step explanation:

4 0
3 years ago
A fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange. They also need $7.30 for
Aneli [31]

Answer:

A fruit stand has to decide what to charge for their produce.

They need $ 5.30 for 1 apple and 1 orange.

They also need $ 7.30 for 1 apple and 2 oranges.

TO DETERMINE

To put this information into a system of linear equations.

TO find a unique price for an apple and an orange

EVALUATION

Let the price of an apple = x and price of an orange = y

So From the first condition that they need $ 5.30 for 1 apple and 1 orange we get

\sf{x + y = 5.30}x+y=5.30 - - - - Equation 1

Again from second condition that they need $ 7.30 for 1 apple and 2 oranges we get

\sf{x + 2y = 7.30}x+2y=7.30 - - - - Equation 2

So the required Set of linear equations are

x + y = 5.30

x + 2y = 7.30

Equation (2) - Equation (1) we get

y = 2

From Equation (1) we get

x = 5.30 - 2 = 3.30

Hence price of an apple = $ 3.30

The price of an orange = $ 2

7 0
2 years ago
Read 2 more answers
Whats the answer for this
drek231 [11]

Answer:

50/18 or 2.77

Step-by-step explanation:

So first u have to make the 3 1/3 and 1 1/5 into improper fractions.

Then, you can do the keep, change, flip thing and then u get 10/3 x 5/6 to get 50/18

7 0
3 years ago
Read 2 more answers
There are 40 people at Drake’s sweet sixteen party. Drake’s only rule is that everyone in the party must meet and shake each oth
Nonamiya [84]

Answer:

Given:

Total Number of people at the Drake’s sweet sixteen party = 40

Everyone in the party must meet and shake each other’s hand

1) How many handshakes are there altogether?

There was total of 780 handshakes in the party.

2. How did you get your solution:

If you have 7 people, person seven shakes six other hands, person  

six shakes five other hands, person five shakes fours other hands,  

person  ,four shakes three other hands, person three shakes two other hands,  and person two shakes one hand.  Another way to see it is,

Person 7  +person 6 + person 5 + person 4 +person 3 + person 2 +  person 1

= 6+5+ 4+3+2+1

=>21

so similairly in case of 40 persons

= 39+38+37+36+37+36+35+34 .................+3+2+1

=>780

3) What’s the quickest way to figure this out if Drake invited 1,000 people?

People at Party               Number of Handshakes

     2                                                     1

     3                              1 + 2              = 3

     4                            1 + 2 + 3          = 6

     5                          1 + 2 + 3 + 4      = 10

     6                        1 + 2 + 3 + 4 + 5  = 15

     .

     .

     .                                          

     n                              1 + 2 + ...+ (n-1) =  --------     \frac{n(n-1)}{2}

Hence for n persons the number of handshakes will be  \frac{n(n-1)}{2}

So for 1000 persons the number of handshakes will be

=>\frac{1000(1000-1)}{2}

=>\frac{1000(999)}{2}

=>\frac{999000}{2}

=>499,500

                                                     

3 0
3 years ago
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