SOLUTION: Write a polynomial f(x) in standard form that has the following characteristics. � Degree 3 � Leading coefficient of 6 � One double root at x = &#8722;6 � One root at x = 3/2

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Question 1127747: Write a polynomial f(x) in standard form that has the following characteristics.
� Degree 3
� Leading coefficient of 6
� One double root at x = −6
� One root at x = 3/2
The following are my answers that I�ve gotten so far but are incorrect. F(x): 6x^3 +71x^2 + 204x -36.
F(x): x^2+ 228x -36. F(x): 6x^3+ 67.5 x^2 + 162x-162.

Found 2 solutions by htmentor, MathLover1:
Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website!
The function f(x) has the form a(x-b)^2(x-c)
where a is the leading coefficient, b is the double root and c is the single root
Thus f(x) = 6(x+6)^2(x-3/2)
Performing the multiplication, I get:
f(x) = 6x^3 + 63x^2 + 108x - 324

Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
Degree
� Leading coefficient of
� One double root at
� One root at

SOLUTION: Write a polynomial f(x) in standard form that has the following characteristics. � Degree 3 � Leading coefficient of 6 � One double root at x = &#8722;6 � One root at x = 3/2

SOLUTION: Write a polynomial f(x) in standard form that has the following characteristics. � Degree 3 � Leading coefficient of 6 � One double root at x = −6 � One root at x = 3/2