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Margarita [4]
3 years ago
11

Need help please what is the minimum value of this function?​

Mathematics
1 answer:
Ksju [112]3 years ago
5 0
The minimum value is -3
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Option C

The zeros of the polynomial function f(x) = x^3 - 5x^2 - 6x is x = 0 and x = -1 and x = 6

<h3><u>Solution:</u></h3>

Given that polynomial function is f(x) = x^3 - 5x^2 - 6x

We have to find the zeros of polynomial

To find zeros, equate the given polynomial function to 0. i.e f(x) = 0

x^3 - 5x^2 - 6x = 0

Taking "x" as common term,

x(x^2 - 5x - 6) = 0

Equating each term to zero, we get

x=0 \text { and } x^{2}-5 x-6=0

Thus one of the zeros of function is x = 0

Now let us solve x^{2}-5 x-6=0

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x^2 + x - 6x - 6 = 0

Taking "x" as common from first two terms and -6 as common from next two terms

x(x + 1) -6(x + 1) = 0

Taking (x + 1) as common term,

(x + 1)(x - 6) = 0

x + 1 = 0 and x - 6 = 0

x = -1 and x = 6

Thus the zeros of given function is x = 0 and x = -1 and x = 6

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