Finite Math Examples

Find the x and y Intercepts f(x)=6x^4-18x-318x^3-54x
Step 1
Find the x-intercepts.
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Step 1.1
To find the x-intercept(s), substitute in for and solve for .
Step 1.2
Solve the equation.
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Step 1.2.1
Remove parentheses.
Step 1.2.2
Subtract from .
Step 1.2.3
Graph each side of the equation. The solution is the x-value of the point of intersection.
Step 1.3
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Step 2
Find the y-intercepts.
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Step 2.1
To find the y-intercept(s), substitute in for and solve for .
Step 2.2
Solve the equation.
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Step 2.2.1
Remove parentheses.
Step 2.2.2
Remove parentheses.
Step 2.2.3
Remove parentheses.
Step 2.2.4
Simplify .
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Step 2.2.4.1
Simplify each term.
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Step 2.2.4.1.1
Raising to any positive power yields .
Step 2.2.4.1.2
Multiply by .
Step 2.2.4.1.3
Multiply by .
Step 2.2.4.1.4
Raising to any positive power yields .
Step 2.2.4.1.5
Multiply by .
Step 2.2.4.1.6
Multiply by .
Step 2.2.4.2
Simplify by adding numbers.
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Step 2.2.4.2.1
Add and .
Step 2.2.4.2.2
Add and .
Step 2.2.4.2.3
Add and .
Step 2.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 3
List the intersections.
x-intercept(s):
y-intercept(s):
Step 4