answersLogoWhite

0

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.

User Avatar

Wiki User

15y ago

What else can I help you with?

Related Questions

What is synthetic division?

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.


What is the reminder theorem?

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.


What is meant by multiple representations of a linear function?

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.


When is it useful to know about factors and multiples?

It is always useful to know about factors and multiples.


Who contribute synthetic division?

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.


What is the egg function?

eggs are useful


When is it useful to use factors and multiples?

Factors are useful when you're trying to reduce fractions. Multiples are useful when you're trying to find a least common denominator.


What is the answer to compare the y-coordinate of each point to its x-coordinate describe the relationship using words?

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.


Is vomiting horrible?

No. It is a useful function of the body.


What are the applications of linear transformations?

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.


What would the output be if the input was 10.20 on the function table?

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.


How are common factors useful?

They are useful in reducing fractions and to simplify radicals. They are useful in reducing fractions and to simplify radicals.