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What is the first term of each polynomial?
The first term of a polynomial is the term with the highest degree, typically written in standard form. For example, in the polynomial (3x^4 + 2x^3 - x + 5), the first term is (3x^4). If a polynomial has multiple terms, the first term is determined by the term with the largest exponent of the variable. If the polynomial is expressed in descending order, the first term is simply the first term listed.
Is -4x a polynomial?
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
What is a polynomial in standard from?
A polynomial in standard form is when it is written in descending order according to the highest alphabetical variable according to power. In other words the powers of the variable first in the alphabet from greatest to least. So 3a^3+4a^2-1a. ( notice the peers of a )
Explain how you multiply two polynomials?
To multiply two polynomials, you apply the distributive property, also known as the FOIL method for binomials. Each term in the first polynomial is multiplied by each term in the second polynomial. After performing all the multiplications, you combine like terms to simplify the resulting polynomial. Finally, ensure that the polynomial is written in standard form, with terms ordered by decreasing degree.
When simplified and written in standard form which quadratic function is equivalent to the polynomial shown 2 plus 7c and ndash 4c2 and ndash 3c plus 4?
To simplify the polynomial ( -4c^2 + 7c + 2 - 3c + 4 ), first combine like terms. The ( c ) terms are ( 7c - 3c = 4c ), and the constant terms are ( 2 + 4 = 6 ). Thus, the simplified polynomial is ( -4c^2 + 4c + 6 ). In standard form, this quadratic function is written as ( -4c^2 + 4c + 6 ).
Is -4x a polynomial?
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
What is the number in front of the term with the highest degree in a polynomial?
It is the Coefficient. It only refers to the given term that it is front. e.g. 2x^2 - 3x + 1 The '2' in front of 'x^2' only refers to 'x^2'. The '-3' in front of 'x' is the coefficient of '-3' The '1' is a constant.
What is a polynomial in standard from?
A polynomial in standard form is when it is written in descending order according to the highest alphabetical variable according to power. In other words the powers of the variable first in the alphabet from greatest to least. So 3a^3+4a^2-1a. ( notice the peers of a )
What is Pearson's first rule of the measure of coefficient of skewness?
skewness=(mean-mode)/standard deviation
Are the two equations -6 plus y equals 2x and 2y-4x equals 12 dependent?
In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).
How do you multiply monomial by a polynomial?
you foil it out.... for example take the first number or variable of the monomial and multiply it by everything in the polynomial...
How do you do polynomial inequalities?
use pemdas first...
There are some instances where it is better to factor a polynomial without first putting it in standard form One example is a quadratic equation that in nonstandard form contains a perfect tr?
Square :)
If Julian wrote the last term as and ndash3x4 which must be the first term of his polynomial in standard form 4y4 6y4 and ndash2xy3 and ndash10xy3?
4y4
What is the technical name for a first degree polynomial?
A binomial.
If mean is 8 median is 6 and standard deviation is 2 what is skewness?
Karl Pearson simplified the topic of skewness and gave us some formulas to help. The first is the Pearson mode or first skewness coefficient. It is defined by the (mean-median)/standard deviation. So in this case the Pearson mode is: (8-6)/2 =1 There is also the Pearson Median. This is also called second skewness coefficient. It is defined as 3(mean-median)/standard deviation which in this case is 6/2 =3 hence the distribution is positive skewed
Find the coefficient of variation for first 'n' natural nombers?
I have found the coefficient of variation of the first natural numbers and also other functions.
