SOLUTION: Write a polynomial with the given factors. Question: x+3i, x-3i, 2x+1 Question: x - 2/3, x + 1, x - 3 Question: 2x - 1, x + 2, x

SOLUTION: Write a polynomial with the given factors. Question: x+3i, x-3i, 2x+1 Question: x - 2/3, x + 1, x - 3 Question: 2x - 1, x + 2, x - 2

Question 35401: Write a polynomial with the given factors.
Question: x+3i, x-3i, 2x+1
Question: x - 2/3, x + 1, x - 3
Question: 2x - 1, x + 2, x - 2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write a polynomial with the given factors.
#1: (x+3i)(x-3i)(2x+1)=(x^2+9)(2x+1)= 2x^3+x^2+18x+9=f(x)
#2: (x - 2/3)(x + 1)(x - 3)=f(x)
(x-2/3)(x^2-2x-3)= f(x)
x^3-2x^2-(2/3)x^2-3x+(4/3)x-2
f(x)=x^3 -(8/3)x^2-(5/3)x-2
#3: (2x - 1)(x + 2)(x - 2)
(2x-1)(x^2-4)
f(x) = 2x^3-x^2-8x+4
Cheers,
Stan H.
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