Precalculus Examples

Find the Roots/Zeros Using the Rational Roots Test 10x^3-17^2-7+2
Step 1
Simplify .
Tap for more steps...
Step 1.1
Simplify each term.
Tap for more steps...
Step 1.1.1
Raise to the power of .
Step 1.1.2
Multiply by .
Step 1.2
Simplify by adding and subtracting.
Tap for more steps...
Step 1.2.1
Subtract from .
Step 1.2.2
Add and .
Step 2
Simplify .
Tap for more steps...
Step 2.1
Simplify each term.
Tap for more steps...
Step 2.1.1
Raise to the power of .
Step 2.1.2
Multiply by .
Step 2.2
Simplify by adding and subtracting.
Tap for more steps...
Step 2.2.1
Subtract from .
Step 2.2.2
Add and .
Step 3
Add to both sides of the equation.
Step 4
Subtract from both sides of the equation.
Step 5
Factor out of .
Tap for more steps...
Step 5.1
Factor out of .
Step 5.2
Factor out of .
Step 5.3
Factor out of .
Step 6
Divide each term in by and simplify.
Tap for more steps...
Step 6.1
Divide each term in by .
Step 6.2
Simplify the left side.
Tap for more steps...
Step 6.2.1
Cancel the common factor of .
Tap for more steps...
Step 6.2.1.1
Cancel the common factor.
Step 6.2.1.2
Divide by .
Step 6.3
Simplify the right side.
Tap for more steps...
Step 6.3.1
Divide by .
Step 7
Add to both sides of the equation.
Step 8
Divide each term in by and simplify.
Tap for more steps...
Step 8.1
Divide each term in by .
Step 8.2
Simplify the left side.
Tap for more steps...
Step 8.2.1
Cancel the common factor of .
Tap for more steps...
Step 8.2.1.1
Cancel the common factor.
Step 8.2.1.2
Divide by .
Step 9
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 10
Simplify .
Tap for more steps...
Step 10.1
Rewrite as .
Step 10.2
Multiply by .
Step 10.3
Combine and simplify the denominator.
Tap for more steps...
Step 10.3.1
Multiply by .
Step 10.3.2
Raise to the power of .
Step 10.3.3
Use the power rule to combine exponents.
Step 10.3.4
Add and .
Step 10.3.5
Rewrite as .
Tap for more steps...
Step 10.3.5.1
Use to rewrite as .
Step 10.3.5.2
Apply the power rule and multiply exponents, .
Step 10.3.5.3
Combine and .
Step 10.3.5.4
Cancel the common factor of .
Tap for more steps...
Step 10.3.5.4.1
Cancel the common factor.
Step 10.3.5.4.2
Rewrite the expression.
Step 10.3.5.5
Evaluate the exponent.
Step 10.4
Simplify the numerator.
Tap for more steps...
Step 10.4.1
Rewrite as .
Step 10.4.2
Raise to the power of .
Step 10.5
Simplify the numerator.
Tap for more steps...
Step 10.5.1
Combine using the product rule for radicals.
Step 10.5.2
Multiply by .
Step 11
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Step 12