How do you write the polynomial function with the least degree and zeroes -2, -1, 1?

Answer 1

Serenity Johnson

#f(x) = x^3+2x^2-x-2#

#f(x) = (x+2)(x+1)(x-1) = (x+2)(x^2-1) = x^3+2x^2-x-2#

Any polynomial in #x# with these zeros will be a multiple - scalar or polynomial - of this #f(x)#.

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Answer 2

Anna Allen

The polynomial function with the least degree and zeroes -2, -1, and 1 is ( f(x) = (x + 2)(x + 1)(x - 1) ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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