Finding the zeros of a cubic polynomial | Mathematics | Page 1

glossy niche Nov 11, 2022, 2:59 AM

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I'm having trouble factoring this polynomial...
Could someone help and explain how they did it?
2x^3 - 3x^2 -36x + 12

nimble shale Nov 11, 2022, 3:05 AM

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glossy niche I'm having trouble factoring this polynomial... Could someone help and explain h...

find all the factors of 12, then plug in those one by one till you find which one gave you 0, let's call it val
then you can either use long division or Horner's method to divide the given expression by (x - val)

glossy niche Nov 11, 2022, 3:10 AM

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Are there other methods of finding the solution?

nimble shale Nov 11, 2022, 3:10 AM

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glossy niche Are there other methods of finding the solution?

that's what I only knew

light copper Nov 11, 2022, 3:11 AM

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glossy niche Are there other methods of finding the solution?

are you allowed a graphing calculater

glossy niche Nov 11, 2022, 3:11 AM

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Yeah we are allowed a graphing calculator, but we're going to be asked to show the exact form or equation.
So the answer is going to end up as a radical or some other form of expression.

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@light copper

light copper Nov 11, 2022, 3:12 AM

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Well you use the rational zero theorem of course

glossy niche Nov 11, 2022, 3:12 AM

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ratioanl zero theoreM?

light copper Nov 11, 2022, 3:13 AM

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the factors of the constant term of a polynomial divided by the factors of the leading coefficient results in a variety of possible zeros

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and then u can use a calculater to see which one is a zero

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and then use synthetic division to find the other zeros algebraically

#Finding the zeros of a cubic polynomial