Question

Use the rational zero thereom to list all possible zeroes of the function f(x)= 5x^8-2x^5-7

Answer 1

Possible rational zeros are:

$\pm1,\pm7,\pm\frac{1}{5},\pm\frac{7}{5}$

Step-by-step explanation:

We need to list all possible zeroes of the function $f(x)= 5x^8-2x^5-7$ using rational zero theorem.

The rational zero theorem.

rational zero theorem states that zeros can be found by dividing the factors of constant term called p by the factors of the leading co-efficient called q i.e

p/q

In our given function  $f(x)= 5x^8-2x^5-7$

p = 7

q = 5

Factors of p (7) = ±1, ±7

Factors of q (5) = ±1, ±5

$\frac{p}{q} =\frac{\pm1,\pm7}{\pm1,\pm5}$

So, possible rational zeros are:

$\pm1,\pm7,\pm\frac{1}{5},\pm\frac{7}{5}$

Keywords: rational zero theorem, possible zeroes

Learn more about rational zero theorem at:

• brainly.com/question/5030671
• brainly.com/question/10894205

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