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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.
https://brainly.com/question/10474342
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:
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:
find whether x + 10 a factor of the function [tex]f(x) = x^3 - 75x + 250[/tex]
To find whether x+10 is a factor of f(x) ,
x+10 =0
x= -10
Plug in -10 for x in f(x)
[tex]f(x) = x^3 - 75x + 250[/tex]
[tex]f(-10) = (-10)^3 - 75(-10)+ 250[/tex]
[tex]f(-10) = -1000+750+ 250[/tex]
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 [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].