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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.
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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.
How do you divide polynomials?
dividing polynomials is just like dividing whole nos..
