Question 1127287: Find a polynomial f(x) of degree 3 that has the following zeros. 7,0,-5, Leave your answer in factored form. Found 3 solutions by Boreal, KMST, Edwin McCravy:Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website! a zero of a polynomial is the factor (x-c), where c is the root
(x-7)(x)(x+5)=f(x) Answer by KMST(5328) (Show Source): You can put this solution on YOUR website! A polynomial of degree 3 can have up to 3 real zeros.
The factored form of polynomial f(x) will include if and only if is a zero of .
so,
is a polynomial f(x) of degree 3 that has the zeros 7,0,-5.
There can be no zeros other than those 3 zeros,
so there can be no other factors involving .
Equivalent expressions, such as are really the same polynomial.
Expressions involving a constant such as or
are also polynomials that could be valid answers.