One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
2 answers:
Answer:
-10
-5
5
Step-by-step explanation:
From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250
The Remainder Theorem is going to take a bit to solve.
You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.
The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.
However just to get the roots, the graph shows that
x = -10
x = - 5
x = 5
The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give
f((10) = 10^3 + 10*10^2 - 25*10 - 250
f(10) = 1000 + 1000 - 250 - 250
f(10) = 2000 - 500
f(10) = 1500 which is not 0.
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f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250
f(1) = 1 + 10 - 25 - 250
f(1) = -264 which again is not zero
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Answer:
Option C is correct
The coordinate of C' or the transformed point of C is (-6, 5)
Step-by-step explanation:
From the given graph:
In triangle ABC:
Coordinate of C is:
C(-3, 4)
The rule of transformation is given:
We have to find the coordinate of C'.
Apply the transformation on coordinate C:
Therefore, the coordinate of C' is (-6, 5)
Answer:
Step-by-step explanation:
Distance between two points and
is given by the formula,
Distance =
a). A(-6, -4), B(-3, -1)
Distance between A and B =
=
= 3√2
= 4.2 units
b). C(3.5, 1), D(-4, 2.5)
Distance between C and D =
=
= 7.65
≈ 7.7 units
c). Distance between X(5, -5) and Y(-5, 5)
Distance =
=
= 10√2
= 14.14
≈ 14.1 units