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Students often have difficulty "working backwards" from the solution of a problem to its original question. Finding a polynomial, given its roots, is an example of a "working backwards" problem. Here are several examples using different approaches. Helpful tips included.
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CCSS:
Adaptable
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determining how many roots a polynomial has, determining number of real roots, determining polynomial roots, determining the number of real roots for a polynomial, determining the number of real roots of a polynomial, determining the number of roots for a polynomial, finding a polynomial, finding a polynomial given its roots, given roots of a polynomial, math root, polynomial real roots, polynomial roots, roots of a polynomial, roots of polynomials, solving polynomials, purplemath, polynomial, root, solutions of a polynomial equation
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