SOLUTION: Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition.
−3, −2, 0; f(−4) = 32
Algebra.Com
Question 1177241: Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition.
−3, −2, 0; f(−4) = 32
Found 2 solutions by josgarithmetic, Solver92311:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
and
, and you can solve the factor, a.
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
If a polynomial function has a zero at some number 
, then 
must be a factor of the polynomial. Hence, the desired polynomial is:
\ =\ a(x\,-\,0)(x\,+\,3)(x\,+\,2))
\ =\ a\(x^3\ +\ 5x^2\ +\ 6x\))
Then
\ =\ a\((-4)^3\,+\,5(-4)^2\,+\,6(-4)\))
Do the arithmetic, solve for 
, plug that value back into \ =\ a\(x^3\ +\ 5x^2\ +\ 6x\))
, and simplify.
John
My calculator said it, I believe it, that settles it
From
I > Ø
RELATED QUESTIONS
Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given... (answered by greenestamps)
Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given... (answered by Fombitz)
Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies
the given (answered by AnlytcPhil)
Find a polynomial f(x) of degree 3 that has the indicated zeros -2 1 5 and satisfies the... (answered by stanbon)
Find a polynomial f(x) of degree 4 that has the indicated zeros and satisfies the given... (answered by 11anthony,Edwin McCravy)
Find a polynomial f(x)of degree 3 that has the indicated zeros and satisfies the given... (answered by josmiceli)
Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the... (answered by Fombitz)
Find a polynomial function f(x) of the indicated degree with integer coefficients that... (answered by Fombitz)
Find a polynomial function f(x) of the indicated degree with integer coefficients that... (answered by MathLover1)