Use the rational zero thereom to list all possible zeroes of the function f(x)= 5x^8-2x^5-7
1 answer:
Possible rational zeros are:
Step-by-step explanation:
We need to list all possible zeroes of the function 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
p = 7
q = 5
Factors of p (7) = ±1, ±7
Factors of q (5) = ±1, ±5
So, possible rational zeros are:
Keywords: rational zero theorem, possible zeroes
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14. (2x - 1)(x + 7) = 0
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2x - 1 = 0
2x = 1
x = 1/2
x + 7 = 0
x = -7
15.
To solve this equation, you first need to set it equal to 0:
Next, it can be factored:
Finally, we can solve just like we did above:
x + 5 = 0
x = -5
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x = 2
16.
First, you can simplify by dividing each side by 4:
Now, set the equation equal to 0:
Next, factor:
Finally, find the solutions:
x + 5 = 0
x = -5
x - 5 = 0
x = 5
Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0. We can set each term equal to 0 to find the solutions:
2x - 1 = 0
2x = 1
x = 1/2
x + 7 = 0
x = -7
15.
To solve this equation, you first need to set it equal to 0:
Next, it can be factored:
Finally, we can solve just like we did above:
x + 5 = 0
x = -5
x - 2 = 0
x = 2
16.
First, you can simplify by dividing each side by 4:
Now, set the equation equal to 0:
Next, factor:
Finally, find the solutions:
x + 5 = 0
x = -5
x - 5 = 0
x = 5