SOLUTION: Write a function in satndard form that has the given four zeros. Zeroes: 0,-2,-3,4
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Question 1168464
:
Write a function in satndard form that has the given four zeros.
Zeroes: 0,-2,-3,4
Answer by
Theo(13342)
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the equation would be:
y = (x) * (x + 2) * (x + 3) * (x - 4)
you would look for the x-values when y = 0.
the equation would becomes (x) * (x + 2) * (x + 3) * (x - 4) = 0
the standard form of this equation would be:
y = x^4 + x^3 - 14x^2 - 24x
that's the equation that would be set to 0 to get:
x^4 + x^3 - 14x^2 - 24x = 0 and factored to get:
(x) * (x + 2) * (x + 3) * (x - 4) = 0 and solved to get:
x = 0 or x = -2 or x = -3 or x = 4.
the graph looks like this: