According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?
1 answer:
ANSWER
EXPLANATION
The given function is;
The constant term is 11.
The coefficient of the leading term is 5.
The factors of 11 are ±1,±11
The factors of 5 are ±1,±5
According to the Rational roots Theorem,
the potential roots are obtained by expressing the factors of the constant term over the coefficient of the leading term.
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<h3>Answer: x = 1</h3>
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Explanation:
- Step 1) Start at -1 on the y axis.
- Step 2) Draw a horizontal line from -1 until you reach the g(x) curve.
- Step 3) Mark the point of intersection. Let's call it point A.
- Step 4) From point A, draw a vertical line until you reach the x axis. You should get to x = 1.
All of this is shown in the diagram below.
Now follow the arrows in reverse. This shows that x = 1 leads to y = g(x) = -1.
Therefore, g(1) = -1 and x = 1 is the solution to g(x) = -1.
Side note: The equation is g(x) = 2x-3. We can replace g(x) with -1 and solve for x to get x = 1.
Answer:
<em>x=25/16</em>
Step-by-step explanation:
<u>Approximate Roots of Functions:</u>
We are required to find the root of
Let's construct a function
Reducing:
The equation will have a solution when f(x)=0. We'll start from the approximate crossing point given in the graph (x=1.5)
We'll move up on x=1.52
We are closer to the solution, let's try some more up
This value x=1.54 is close enough to the solution of the original equation
From the options given, is the closest to our solution