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An expression that completely divides a given polynomial without leaving a remainder is called a factor of the polynomial. This means that when the polynomial is divided by the factor, the result is another polynomial with no remainder. Factors of a polynomial can be found by using methods such as long division, synthetic division, or factoring techniques like grouping, GCF (greatest common factor), or special patterns.

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It is an algebraic factor.

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Q: What is an expression that completely divides a given polynomial?
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Continue Learning about Algebra

What Factor the expression given below. Write each factor as a polynomial in descending order. x2 - 4?

It is x^2 -4 = (x-2)(x+2) when factored and it is the difference of two squares


Which two values of x are roots of the polynomial below x2 plus 5x plus 11?

There are none because the discriminant of the given quadratic expression is less than zero.


How do you find the zeros of any given polynomial function?

by synthetic division and quadratic equation


What is next number is series 298 209 129 58 - 4?

The answer can be any number that you like: it is always possible to find a polynomial of order 5 to fit the given numbers and any other number.The lowest degree polynomial that will fit the given numbers is the quadraticUn = (9n2 - 205n + 792)/2 for n = 1, 2, 3, .. . and that gives the next number as -57.The answer can be any number that you like: it is always possible to find a polynomial of order 5 to fit the given numbers and any other number.The lowest degree polynomial that will fit the given numbers is the quadraticUn = (9n2 - 205n + 792)/2 for n = 1, 2, 3, .. . and that gives the next number as -57.The answer can be any number that you like: it is always possible to find a polynomial of order 5 to fit the given numbers and any other number.The lowest degree polynomial that will fit the given numbers is the quadraticUn = (9n2 - 205n + 792)/2 for n = 1, 2, 3, .. . and that gives the next number as -57.The answer can be any number that you like: it is always possible to find a polynomial of order 5 to fit the given numbers and any other number.The lowest degree polynomial that will fit the given numbers is the quadraticUn = (9n2 - 205n + 792)/2 for n = 1, 2, 3, .. . and that gives the next number as -57.


How do you write a polynomial function with rational coefficients in standard form with given zeros of -1 -1 1?

The polynomial is (x + 1)*(x + 1)*(x - 1) = x3 + x2 - x - 1