Mathematics: Is x-8 a factor of the function f(x)=-2x^3+17x^2-64?

Is x-8 a factor of the function f(x)=-2x^3+17x^2-64?

Ответ:

mmaglaya1

30.12.2021

To do this we can use the remainder theorem to find the value of the remainder when x=8
f(8)=-2*8³+17*8²-64
f(8)=0
Therefore x-8 is a factor.

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Ответ:

97seouls

30.12.2021

Mathematics

$If\ (x-8)\ is\ a\ factor\ of\ the\ function\ f(x)=-2x^3+17x^2-64\\\\then\ f(8)=0.\\\\Check:\\\\f(8)=-2\cdot8^3+17\cdot8^2-64=-2\cdot512+17\cdot64-64\\\\=-1024+1088-64=0-correct\\\\(x-8)\ is\ a\ factor\ of\ the\ function\ f(x).$

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Ответ:

krystalScott17

25.01.2021

Mathematics

They are called polynomial equations

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