How do I find the zeros of a polynomial?

The equation: y = (x+5) (-2x^3-5x^2)

Question

Ulises Carson

Mathematics

12 September, 07:15

How do I find the zeros of a polynomial?

The equation: y = (x+5) (-2x^3-5x^2)

+1

Answers (1)

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Emmalee Francis · Answer 1

Your first zero is - 5 (you get this from looking at x+5) then you can just punch it into your graphing calculator and it'll give you the two other zeros: - 2/5 and 0

the reason you get these two zeros is because - 2x^3-5x^2 turns into 2/5x^3 - x^2

the x^2 is of multiplicity 2 so it'll 'bounce' off the graph at 0 like in the photo I've included

How do I find the zeros of a polynomial?The equation: y = (x+5) (-2x^3-5x^2)

How do I find the zeros of a polynomial?

The equation: y = (x+5) (-2x^3-5x^2)