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.
True
not alot, they arent very useful, give up now
In SQL, the function of the union operator is to combine the result of two or more select-statements. The union operator is a very useful tool when coding SQL.
Economics is essentially about the allocation the least quantities of scarce resources to maximise utility. Resources could be money - so minimise cost - while utility may be measured by profits. If the production options can be modelled by linear functions - as they often are - then LP is a very useful tool. It is also easily programmed into computers.
A vertical test line is useful because, by definition, a function has one and only one result value for each input value. If you can find a vertical line that intersects the curve of the line, then it is not a function. A simple example is a circle.
Synthetic division is a simplified method for dividing a polynomial by a linear binomial of the form (x - c). It involves using the coefficients of the polynomial and performing operations that resemble long division but are more streamlined. This technique is particularly useful for quickly finding polynomial quotients and remainders without having to write out the entire long division process. Synthetic division is efficient and can be applied when the divisor is a linear polynomial.
The Remainder Theorem states that for a polynomial ( f(x) ), if you divide it by a linear factor of the form ( x - c ), the remainder of this division is equal to ( f(c) ). This means that by evaluating the polynomial at ( c ), you can quickly determine the remainder without performing long division. This theorem is useful for factoring polynomials and analyzing their roots.
Multiple representations of a linear function refer to the various ways in which the same linear relationship can be expressed. This includes the slope-intercept form (y = mx + b), the standard form (Ax + By = C), and the point-slope form (y - y₁ = m(x - x₁)). Additionally, a linear function can be represented graphically as a straight line on a coordinate plane, and numerically through tables of values. Each representation provides different insights and can be useful in various contexts.
It is always useful to know about factors and multiples.
The French mathematician Descartes is credited with developing synthetic division as a method for dividing polynomials. It is a useful technique for dividing polynomials by linear factors and is commonly used in algebra and calculus.
eggs are useful
Factors are useful when you're trying to reduce fractions. Multiples are useful when you're trying to find a least common denominator.
The answer is a description, in words, of some function that has been plotted. With no information about the function it is not possible to provide a more useful answer.The answer is a description, in words, of some function that has been plotted. With no information about the function it is not possible to provide a more useful answer.The answer is a description, in words, of some function that has been plotted. With no information about the function it is not possible to provide a more useful answer.The answer is a description, in words, of some function that has been plotted. With no information about the function it is not possible to provide a more useful answer.
No. It is a useful function of the body.
Linear transformations can be very important in graphics. Also, linear transformations come up whenever you need to solve systems of linear equations, which arise quite often. Finally, they can be useful in further areas of mathematics such as topology.
It will be f(10.20), which is determined by the function f. Since you have not bothered to share what the function f is, I cannot provide a more useful answer.It will be f(10.20), which is determined by the function f. Since you have not bothered to share what the function f is, I cannot provide a more useful answer.It will be f(10.20), which is determined by the function f. Since you have not bothered to share what the function f is, I cannot provide a more useful answer.It will be f(10.20), which is determined by the function f. Since you have not bothered to share what the function f is, I cannot provide a more useful answer.
They are useful in reducing fractions and to simplify radicals. They are useful in reducing fractions and to simplify radicals.