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Where would the zeros be plotted on this graph of the function f(x)=(x-1)(x-7)

Where would the zeros be plotted on this graph of the function f(x)=(x-1)(x-7)-example-1
User Loredana
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1 Answer

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If we have a polynomial written in the form:


f(x)=(x-x_1)(x-x_2)...(x-x_n)

Then,


x_1,x_2,...,x_n

are x values of the zeros of the polinomial. In this case:


f(x)=(x-1)(x-7)

Thus, x = 1 and x = 7 are zeros of the function.

Since in the zeros the y coordinate is y = 0, then:

Zeros:

(1, 0)

(7, 0)

Thus, in the graph:

Where would the zeros be plotted on this graph of the function f(x)=(x-1)(x-7)-example-1
User Aarkerio
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