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

yes, When the function [tex]f(x)=x^3-75x+250[/tex] is divided by x+10 , the remainder is zero.Therefore, x+10 is a factor of [tex]f(x)=x^3-75x+250[/tex]

Step-by-step explanation:

We are given that

[tex]f(x)=x^3-75x+250[/tex]

We have to find [tex]x+10[/tex] is a factor of given  function.

By remainder theorem

[tex]x+10=0[/tex]

[tex]x=-10[/tex]

Substitute x=-10

Then , we get

[tex]f(-10)=(-10)^3-75(-10)+250[/tex]

[tex]f(-10)=-1000+750+250=0[/tex]

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 [tex]f(x)=x^3-75x+250[/tex] is divided by x+10 , the remainder is zero.Therefore, x+10 is a factor of [tex]f(x)=x^3-75x+250[/tex]

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