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DaniilM [7]
2 years ago
10

Which of these are NOT potential rational roots of 8x^3 + 15x^2 – 7x – 5?

Mathematics
1 answer:
VashaNatasha [74]2 years ago
5 0

The numbers that are not potential rational roots of the polynomial function, are numbers other than any of \pm 1, \pm \frac 12,\pm \frac 14,\pm \frac 18,\pm 5, \pm \frac 52, \pm \frac 54, \pm \frac 58

The polynomial function is given as:

g(x) = 8x^3 + 15x^2 - 7x -5

<h3>How to calculate the potential rational roots</h3>

The potential rational roots of a polynomial function g(x).

Such that: g(x) = px^n + ....+q

is:

Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}

So, we start by listing out the factors of 5 and 8

5 =1 ,5

8 =1 ,2,4,8

Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p} becomes

Roots = \pm \frac{1,5}{1,2,4,8}

Simplify

Roots = \pm 1, \pm \frac 12,\pm \frac 14,\pm \frac 18,\pm 5, \pm \frac 52, \pm \frac 54, \pm \frac 58

Hence, the numbers that are not potential rational roots of the polynomial function, are numbers other than any of \pm 1, \pm \frac 12,\pm \frac 14,\pm \frac 18,\pm 5, \pm \frac 52, \pm \frac 54, \pm \frac 58

Read more about potential rational roots at:

brainly.com/question/7594092

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If C ( x ) = 11000 + 500 x − 3.6 x 2 + 0.004 x 3 is the cost function and p ( x ) = 1700 − 9 x is the demand function, find the
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Step-by-step explanation:

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Differentiate C(x) with respect to x

C'(x) = 500 - 7.2x + 0.012x^2

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= ( -10.8 +_√116.64 + 57.6) / 0.024

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= (-10.8 +_13.2) / 0.024

= (-10.8+13.2)/0.024 or (-10.8 - 13.2)/0.024

= 2.4/0.024 or -24/0.024

x= 100 or -1000

Since our profit cannot be negative, the profit = $100

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3 years ago
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