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.
According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)
=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.
Answer:
Step-by-step explanation:
800(1+0.038)2
Answer:
The slope is -3/4
Step-by-step explanation:
The formula to calculate slope is m = (y2 -- y1) / (x2 -- x1), where m is the slope. When we substitute the values, we get 0-3 over -2-2. When we solve this, 0-3 is -3 and -2-2 is -4, so the slope is -3/4.
Answer:
Collect like terms
-x-x=6-4
Solve
-2x=2, -x=1 or x=-1
Step-by-step explanation:
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