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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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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
Which polynomial is equivalent to the following expression?
To determine which polynomial is equivalent to a given expression, you'll need to provide the specific expression you're referring to. Please share the expression, and I'll help you find the equivalent polynomial.
What is the discriminant polynomial 9x2-18x 9?
The discriminant polynomial is always [ b2 - 4ac ]. In any given expression, it's a number. In this expression, the number is zero, indicating that the expression is a square.
Which linear expression is a factor of this polynomial function?
To determine which linear expression is a factor of a given polynomial function, you typically need to perform polynomial division or use the Factor Theorem. If you can substitute a root of the polynomial into the linear expression and obtain a value of zero, then that linear expression is indeed a factor. Alternatively, if you have the polynomial's roots, any linear expression of the form ( (x - r) ), where ( r ) is a root, will be a factor. Please provide the specific polynomial function for a more accurate response.
What is the GCF of An Expression?
Greatest Common Factor .... largest expression which (evenly) divides into the given expressions.
Which binomial is a factor of the polynomial below?
To determine which binomial is a factor of a given polynomial, you can apply the Factor Theorem. According to this theorem, if you substitute a value ( c ) into the polynomial and it equals zero, then ( (x - c) ) is a factor. Alternatively, you can perform polynomial long division or synthetic division with the given binomials to see if any of them divides the polynomial without a remainder. If you provide the specific polynomial and the binomials you're considering, I can assist further.
What is the Greatest Common Factor for the given polynomial?
Since no polynomial was given, no answer will be given.
Factor this polynomial completely a-ab-42b?
Too bad that's not a^2 - ab - 42b^2 That factors to (a + 6b)(a - 7b)
What is the value of the expression below after it has been completely simplified?
That will depend entirely on the algebraic expression which has not been given.
Factor the expression given below Write each factor as a polynomial in descending order x2 - 81?
-79
What is the discriminant in the polynomial x2 plus 4x plus 5?
It is: 16-20 = -4 which means that the given quadratic expression has no real roots.
This is a number which divides evenly into a given number.?
A factor divides evenly into a given number.
What is the difference in evaluating a polynomial and solving a polynomial?
Evaluating a polynomial is finding the value of the polynomial for a given value of the variable, usually denoted by x. Solving a polynomial equation is finding the value of the variable, x, for which the polynomial equation is true.
