austinburetz austinburetz
  • 11-01-2018
  • Mathematics
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f(x)=x^5+1

The function above has a factor of y = x - 1.

Choose True or False.

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Аноним Аноним
  • 11-01-2018
If x - 1 is a factor, then x - 1 = 0 will be an x - intercept of the function.
Which (solve for x) means if 1 is substituted into f(x) the result will be zero.
[tex]f(1)=(1)^5+1=2[/tex]
This is known as the Remainder Theorem.
Since the result is not 0, the statement is false.
It actually has a factor of (x + 1)
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