Precalculus Examples

The piecewise polynomials are when and when .
Remove parentheses.
Solve for when .
Since does not contain the variable to solve for, move it to the right side of the inequality by subtracting from both sides.
Divide each term by and simplify.
Divide each term in by .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Divide by to get .
Simplify the right side of the equation.
Divide by to get .
Multiply by to get .
Simplify .
Apply the distributive property.
Multiply.
Multiply by to get .
Multiply by to get .
Solve for when .
Since does not contain the variable to solve for, move it to the right side of the inequality by subtracting from both sides.
Divide each term by and simplify.
Divide each term in by .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Divide by to get .
Simplify the right side of the equation.
Divide by to get .
Multiply by to get .

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