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How do you find a polynomial function that has zeros 0, -3?

Answer 1

James Allen

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

We are told that polynomial, #f(x)# has zeros at #x=0# and #x=-3#

#:. f(x) # has factors #(x-0)# and #(x+3)#

Hence: #f(x) = x(x+3) -> x^2+3x#

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Answer 2

Serenity Johnson

To find a polynomial function with zeros at 0 and -3, you can use the factored form of a polynomial. Since the zeros are 0 and -3, the factors of the polynomial are (x - 0) and (x + 3).

Multiplying these factors together gives you the polynomial function:

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

Simplify this expression to get:

f(x) = x(x + 3)

Then, multiply out the expression to get the polynomial in standard form:

f(x) = x^2 + 3x

So, the polynomial function with zeros at 0 and -3 is f(x) = x^2 + 3x.

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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.