Can you determine the value of x that satisfies the equation?
The equation x3 - 22x2 + 85x - 4.000 = 0 is a multiplying equation. This time we will discuss the matter of many tribes.
Understanding tribes Many
Many tribes or often referred to as polynomial form tribe with a lot of values that are composed of variables and constants change. Operations used only sum, subtraction, multiplication, and rank of integers are not negative.Polynomial or multi-tribe is a form of many tribes that are finite and are composed of variables and constants. The operations that apply to the polynomial are only the sum, subtraction, multiplication, and the rank of nonnegative integers.
Inside the polynomial are known several terms such as terms, variables, coefficients, constants, and the highest rank.
Here is an explanation of these terms:
→ f(x) = anxn + an-1xn-1 + an-2xn-2 + ..... + a0
The variables contained in the above polynomial are X.
The coefficients found in the above polynomials are:
an, an-1 , an-2
The coefficient will always be related to its variables.
an is the coefficient of xn
an-1 is the coefficient of xn-1 and so on.
The coefficient will always be related to its variables.
an is the coefficient of xn
an-1 is the coefficient of xn-1 and so on.
Constants are a term that has no variables. In the above polynomial the example is a0. The highest rank / degree from above is if n is not equal to 0 then the polynomial is of degree n.
Some of us may think that the writing of letters will always be regarded as a variable. In a polynomial there may be two letters. When that happens, make one of these letters as coefficients or constants.
If we want to determine the degree of the polynomial, we must know the highest exponent or the degree of the polynomial. If we want to find the degree of polynomial there are several ways that can be done, namely:
Example
given a function x :
5x2 + 7x4 - 8 + 3x + 5x2 - 4x
so that we can determine the degree of polynomial in the above function, then all variables containing the same degree must be joined.
Degree of Polynomy and Discussion
To more easily understand the above explanation just take a look at the following example:
Problem No.1
Arrange the 3x + x4 + 5 - 9x3 polynomial in the descending rank, then declare
a. tribes and coefficients.
b. degrees and constants.
Discussion:
First compile the polynomial into a decreasing degrees arrangement in the absence of the missing X variable. In the above problem is not found the tribe with the variable x2, then just write the tribe as 0x2. The result is:
then, the tribes and their coefficients are:
→ 3x + x4 + 5 - 9x3
tribe x4 coefficient 1
tribe -9x3 coefficient -9
0x2 terminology coefficient 0
3x tribe coefficient 3
5 is called a constant.
The degree of the polynomial is 4 because 4 is the highest rank of the variable. While the constant of the above polynomial is 5 because it has no variables.
Problem No.2
Calculate the degree of polynomial
x4 + 2x3 + 8x
Discussion:
We use equations to determine polynomial levels. if looking for the largest exponent value the answer is 4 because it includes the largest exponent value.
Problem No.3
Calculate the degree of polynomial
12x7 + 3x5 + 7x + 15
Discussion:
We use equations to determine polynomial levels. if looking for the largest exponent value the answer is 7 because it includes the largest exponent value.
Problem No.4
Calculate the degree of polynomial
126 + 15x5 + 9x + 25
Discussion:
In the above problem, it is seen that the degree of a polynomial is 6. But the degree of polynomial applies only to the coefficient so the suitable answer is 5 because it includes the largest exponent value.
Conclusion:
in order to complete the degree of polynomial following conclusions.1. Arrange in advance the tribe that has the greatest degree.
2. Eliminate the same tribe.
3. Calculate if the function of the equation can be completed.
So this article about "Degree of Polynomials Problems and Solving" may be useful