Equation Help

SaLoose

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Oct 15, 2019
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Hello! I am completely stuck on how to answer this question, any help or guidance would be greatly appreciated!

(b) Find the equation whose roots are 1, -2 and 1/2

Thanks!
 
"completely stuck" -- I NEVER believe this. You CAN'T have NOTHING unless your teacher is a sadist (which I consider highly unlikely).

If I tell you "x = 1" is a root, can you give me a factor that caused us to know that this is a root?

If I tell you "(x-2)" is a factor, can you give me the root associated with that factor?
 
You CAN'T have NOTHING unless your teacher is a sadist (which I consider highly unlikely).
Why not? I am! :devilish:

(b) Find the equation whose roots are 1, -2 and 1/2
I presume that this should be "Find the smallest degree polynomial such that it has zeros at 1, -2, and 1/2.

Hint: Three distinct zeros means what for the degree of the polynomial? Is it 1st, 2nd, 3rd, 4th...

-Dan
 
Hello! I am completely stuck on how to answer this question, any help or guidance would be greatly appreciated!
(b) Find the equation whose roots are 1, -2 and 1/2
The answer is: \(\displaystyle (x-1)(x+2)(2x-1)=0\). That is the result of the factor theorem.

 
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