SOLUTION: What is the polynomial function with the lowest degree whose some of its zeros are -1,2,-6. Please show the steps so I can learn how to do this. Thank you

Algebra ->  Rational-functions -> SOLUTION: What is the polynomial function with the lowest degree whose some of its zeros are -1,2,-6. Please show the steps so I can learn how to do this. Thank you      Log On


   

Question 1168615: What is the polynomial function with the lowest degree whose some of its zeros are -1,2,-6. Please show the steps so I can learn how to do this. Thank you
Found 3 solutions by Alan3354, MathLover1, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the polynomial function with the lowest degree whose some of its zeros are -1,2,-6.
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If the zeroes are a, b & c, the function in x is (x-a)*(x-b)*(x-c) = 0
That's all you need to know.
There are no steps.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
What is the polynomial function with the lowest degree whose some of its
given:
zeros are x%5B1%5D=-1,x%5B2%5D=2,x%5B3%5D=-6-> three zeros tells you that you have 3rd degree function, and intersections are at points (-1,0),(2,0), and (-6,0)
use zero product rule to find it
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29...........substitute zeros
f%28x%29=%28x-%28-1%29%29%28x-2%29%28x-%28-6%29%29
f%28x%29=%28x%2B1%29%28x-2%29%28x%2B6%29....multiply
f%28x%29=%28x%5E2+-+x+-+2%29%28x%2B6%29
f%28x%29=x%5E3+%2B+5x%5E2-8x-12->your function

check the graph




Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
"The", 'a' or 'any' ?

%28x-2%29%28x%2B1%29%28x%2B6%29
Multiply fully and simplify if desired.