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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What are the zeros of the polynomial function f(x) = x3 - 9x2 + 20x?
Solution:
The given function is
f(x) = x3 - 9x2 + 20x
Let us take out x as common
f(x) = x(x2 - 9x + 20)
Now by splitting the middle term
f(x) = x(x2 -4x - 5x + 20)
So we get
f(x) = x [x(x - 4) - 5(x - 4)]
f(x) = x(x - 4)(x - 5)
Here
x = 0
x - 4 = 0 where x = 4
x - 5 = 0 where x = 5
Therefore, the zeros of the polynomial function is x = 0 or x = 4 or x = 5.
What are the zeros of the polynomial function f(x) = x3 - 9x2 + 20x?
Summary:
The zeros of the polynomial function f(x) = x3 - 9x2 + 20x is x = 0 or x = 4 or x = 5.
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