How do you write a polynomial with zeros 1,-4, 5?

Answer 1

Polynomial is #(x-1)(x+4)(x-5)#
or #x^3-2x^2-19x+20#

A polynomial (say with #x# as variable) with zeros 1,-4, 5, means that when #x# is put equal to either #1# , #-4# or #5#, its value reduces to zero.

Hence the polynomial would be #(x-1)(x+4)(x-5)#

or #(x-1)(x^2+4x-5x-20)# (multiplying last two factors)

or #(x-1)(x^2-x-20)#

or #x^3-x^2-20x-x^2+x+20# or

#x^3-2x^2-19x+20#

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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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