0
A polynomial can be factored if it has a rational root.
If f(x) is a polynomial function of x and if there is a rational number p such that f(p) = 0 then
f(x) = (x-p)*g(x) where g(x) is a polynomial whose order is one less than the order of f(x).
If p = q/r where q and r are integers, then
(x - p) = (x - q/r) = (rx - q)/r which is a rational binomial factor. This does not work if p is irrational which is why p must be rational.
Add your answer:
Earn +20 pts
Can all cubic polynomials be factored into polynomials of degree 1 or 2?
Not into rational factors.
Where did René Descartes invent polynomials?
Descartes did not invent polynomials.
What is a polynomial with a single root at x equals 2 and a double root at x equals 5?
That would be (x - 2) ( x - 5) ( x - 5). If you like, you can multiply these polynomials to get a single polynomial in standard form (i.e., not factored).
2a2 - 5a plus 3 factor the following polynomials?
Multiply the first and last coefficients.2*3=6What two factors give you six but when combined give you -5-2 and -3Therefore2x-3)(x-1) will be the factored model.
What is the characteristic of a reciprocal?
Reciprocal polynomials come with a number of connections with their original polynomials
Can all cubic polynomials be factored into polynomials of degree 1 or 2?
Not into rational factors.
What strategies is appropriate for factoring polynomials with 4 terms?
A strategy that would be appropriate in factoring polynomials with 4 terms would be by grouping where you first determine if the polynomial can be factored by a group.
Polynomials have factors that are?
Other polynomials of the same, or lower, order.
How polynomials and non polynomials are alike?
they have variable
What are polynomials that have factors called?
Reducible polynomials.
What has the author P K Suetin written?
P. K. Suetin has written: 'Polynomials orthogonal over a region and Bieberbach polynomials' -- subject(s): Orthogonal polynomials 'Series of Faber polynomials' -- subject(s): Polynomials, Series
What is a jocobi polynomial?
In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) are a class of classical orthogonal polynomials.
What is the process to solve multiplying polynomials?
what is the prosses to multiply polynomials
Where did René Descartes invent polynomials?
Descartes did not invent polynomials.
What is a polynomial with a single root at x equals 2 and a double root at x equals 5?
That would be (x - 2) ( x - 5) ( x - 5). If you like, you can multiply these polynomials to get a single polynomial in standard form (i.e., not factored).
How alike the polynomials and non polynomials?
how alike the polynomial and non polynomial
2a2 - 5a plus 3 factor the following polynomials?
Multiply the first and last coefficients.2*3=6What two factors give you six but when combined give you -5-2 and -3Therefore2x-3)(x-1) will be the factored model.
