How do you write a polynomial with roots 3, –3, and 3 ?

Answer 1

Sadie Alexander

#x^3-3x^2-9x+27=0#

From the given: The roots are

#x=3# and #x=-3# and #x=3#

#x-3=0# and #x+3=0# and #x-3=0#

Multiply them all and equate to zero

#(x-3)(x+3)(x-3)=0#

#(x-3)(x^2-9)=0#

#(x^3-9x-3x^2+27)=0#

rearanging

#x^3-3x^2-9x+27=0#

God bless....I hope the explanation is useful.

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Answer 2

Lincoln Anderson

A polynomial with roots 3, -3, and 3 is written as ( f(x) = (x - 3)(x + 3)(x - 3) ).

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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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