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F(x)=x^2-12x-85 provide the zeros of the function

1 Answer

4 votes

Answer:

Two zeros are 17 and -5

Explanation:

Given:

f(x) = x² - 12x - 85

Find:

Zeros of the function

Computation:

f(x) = x² - 12x - 85

f(x) = x² - (17 - 5)x - 85

f(x) = x² - 17x + 5x - 85

f(x) = x(x - 17) + 5(x - 17)

f(x) = (x - 17) (x + 5)

So,

x - 17 = 0 , x + 5 = 0

So,

x = 17 , x = -5

Two zeros are 17 and -5

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