if we double the zeros? what is the new equation of the quadratic function?
Home
/
if we double the zeros? what is the new equation of the quadratic function?
if we double the zeros? what is the new equation of the quadratic function?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
If we doubled the zeros? what is the new equation of the quadratic function?
The Basic Theorem of Algebra states that any polynomial anxn+⋯a0x0 can be factored into the form an(x−r1)⋯(x−rn), where ai,ri∈C.
This factoring is special to the ordering of the ri roots. Some of the roots of the ri is often considered a "zero" since the polynomial is 0.
For a quadratic polynomial such as x2−2rx+r2, it can be factored as (x−r)(x−r) where zero r occurs twice in the factoring. It's a "double zero." In the math class where you will be exposed to such polynomials and the definition of a "double zero" there is possibly no realistic need for it, but there are other circumstances.
For eg, some forms of differential equations can be characterized by a "characteristic polynomial" and each root of the polynomial corresponds to the solution of the differential equation. Repeated roots, or double (or triple, or...) zeros, refer to distinct, connected, differential equation solutions.
#CarryonLearning