Question

is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain. (2 points) Yes. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 − 75x + 250. No. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is not a factor of f(x) = x3 − 75x + 250. Yes. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is not zero. Therefore, x + 10 is a factor of f(x) = x3 − 75x + 250. No. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is not zero. Therefore, x + 10 is not a factor of f(x) = x3 − 75x + 250.

Answer 1

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Your appropriate choice is ...
  Yes. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 − 75x + 250.

Answer 2

Answer:

Yes. When the function $f(x) = x^3 - 75x + 250$ is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of $f(x) = x^3 - 75x + 250$.

Step-by-step explanation:

find whether  x + 10 a factor of the function $f(x) = x^3 - 75x + 250$

To find whether x+10 is a factor of f(x) ,

x+10 =0

x= -10

Plug in -10 for x in f(x)

$f(x) = x^3 - 75x + 250$

$f(-10) = (-10)^3 - 75(-10)+ 250$

$f(-10) = -1000+750+ 250$

f(-10)=0

When x=-10 we got f(-10)=0, this says that the remainder is 0

Remainder is 0 so x+10 is a factor of f(x)

Yes. When the function $f(x) = x^3 - 75x + 250$ is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of $f(x) = x^3 - 75x + 250$.