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The leading coefficient of a cubic polynomial p is 2 and the coefficient of the linear term is 5 and if P 0 equals 7 and P 2 equals 21 what is P 3?
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∙ 14y ago
N i g g e r s
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∙ 14y ago
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When there is no linear correlation the correlation coefficient equals?
0
What happens if the correlation coefficient equals 0?
Nothing happens. It simply means that there is no linear relationship between the two variables. It is possible that there is a non-linear relationship or that there is none.
What are quadratic equations?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is : where a≠ 0. (For if a = 0, the equation becomes a linear equation.) The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term. Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared. A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula: : where the symbol "±" indicates that both : and are solutions.
What is the coefficient in an equation?
A coefficient is a number paired with a variable. For example, in the equation4x+2x=16, the numbers 4 and 2 would be coefficients.Coefficients are the factors (usually constants) which are multiplied by the variables in each term. For example, in a second-degree polynomial equation,y = ax2 + bx + ca is called the quadratic coefficient, b is the linear coefficient and c is the constant term.
Why might it be useful to know the linear factors of a polynomial function?
It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.
When there is no linear correlation the correlation coefficient equals?
0
Why is a degree 1 polynomial equation ax plus by equals 0 called a linear equation?
A linear equation is one which represents a straight line. When drawn (y plotted against x), a degree 1 polynomial produces a straight line.
If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?
It will be a cubic polynomial.
How to identify polynomial?
It is an expression with one variable, which is a linear combination of integral powers of that variable.In simpler words, a polynomial in a variable x consists of a sum of a number of terms of the form axn where a is a number, called the coefficient and n is a positive integer.
What happens if the correlation coefficient equals 0?
Nothing happens. It simply means that there is no linear relationship between the two variables. It is possible that there is a non-linear relationship or that there is none.
Is x minus the square root of 11 a polynomial?
Yes, it is a linear polynomial.
What are quadratic equations?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is : where a≠ 0. (For if a = 0, the equation becomes a linear equation.) The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term. Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared. A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula: : where the symbol "±" indicates that both : and are solutions.
What is the coefficient in an equation?
A coefficient is a number paired with a variable. For example, in the equation4x+2x=16, the numbers 4 and 2 would be coefficients.Coefficients are the factors (usually constants) which are multiplied by the variables in each term. For example, in a second-degree polynomial equation,y = ax2 + bx + ca is called the quadratic coefficient, b is the linear coefficient and c is the constant term.
What is the definition for linear form?
Linear Form is a homogeneous polynomial of the first degree.
Why linear polynomial cannot be factorised?
It can: For example, the linear polynomial 2x + 4 can be factorised into 2 times (x+2) So the question is inappropriate.
Why might it be useful to know the linear factors of a polynomial function?
It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.
What is linear polynomial?
A polynomial with a degree of one, of the form y = ax + b, where a and b are constants.
