Question

Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.

Answer 1

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:

We are given that

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

We have to find $x+10$ is a factor of given  function.

By remainder theorem

$x+10=0$

$x=-10$

Substitute x=-10

Then , we get

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

$f(-10)=-1000+750+250=0$

Remainder=f(-10)=0

It means x+10 is factor of given function f(x) because when x+10 divides the f(x) then we get remainder=0.

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

Answer 2

Okay, I worked it out and yes, it is a factor. Once you got x=-10, then you plug it into your formula. from there you can work it out like I did and get the answer. You can also input it into a scientific calcuator and figure it out that way. If you need any more help, go ahead and message me. Hope this helps. You can also but it into the box and divide it that way to find out. whichever way is better for you