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How do you write a polynomial equation of least degree given the roots -1, 1, 4, -4, 5?

Answer 1

Lily Anderson

#(x+1)(x-1)(x-4)(x+4)(x-5)=0#
#color(white)("xxx")#...or, if you multiply the terms: #x^5-5x^4-10x^3+50x^2+16x-80=0#

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Answer 2

Benjamin Achtenberg

To write a polynomial equation of least degree given the roots -1, 1, 4, -4, and 5, you can use the factored form of a polynomial. Start by using the roots to form linear factors of the polynomial equation. Then multiply these factors together to obtain the polynomial equation in factored form. Finally, expand the expression to find the polynomial equation of least degree.

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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.