Math help! *10 points!* Polynomials and Zeros?
I have the answers to these two problems in the back of the book, but I need to know HOW to do them. PLEASE help :)
*Find a polynomial function that has the given zeros:*
4, -3, 3, 0
*Find a polynomial of degree "n" that has the given zeros:*
(Zeros are -5, 0, 1) and (Degree is n=3)
- Davis PLv 710 years agoFavorite Answer
x^4 -4 x^3 -9 x^2 +36 x
(x+5)(x)(x-1) = x^3 +4 x^2 - 5 x
- Anonymous4 years ago
For this actual issue 0's of the Polynomial ability the answer of 2x^2 - 8x + 6 = 0, or 2(x-a million)(x-3)=0, or the fee of x for which fee of the expression will become 0. for that reason if 2(x-a million)(x-3)=0 then it ability made from 2 , (x-a million) & (x-3) 0. considering 2 cant be equl to 0, so the two the fee of x-a million or that of x-3 = 0. which means that the two x=a million or 3. Thats it.
- Anonymous10 years ago
Since you have the zeros already you can easily find the function by going backwards from the zeros.
X=4 subtract 4
X=-3 subtract -3
X=3 subtract 3
X=0 subtract 0
X-0=0 => X=0
now multiply those 4 equations to get the function.
that would be the function with those zeros.
same thing with this problem
again multiply the zeros out
expanding the function we get
f(x)=X^3 + 4X^2 - 5X
hope that helps