1. College Algebra 1.6 Other Equations
Objective: solve polynomial, radical, rational exponents, absolute value, and quadratic in form equations

2. Other Equations Polynomial Equations Radical Equations
Rational Exponents Equations
Quadratic in Form
Absolute Value Equations

3. Polynomial Equations Solve by factoring 2x3 + 3x2 = 8x + 12
Set equal to zero
Factor by grouping
Set each factor = to zero
Solve for x

4. Radical Equations Solve Isolate the radical Square both sides Simplify
Set equal to zero
Solve for x

5. Equations with Rational Exponents
Solve 5x3/2 – 25 = 0
Isolate the base and exponent
Raise both sides to the reciprocal power

6. Equations Quadratic in Form
Solve x4 – 5x2 + 6 = 0
Let u = middle term
Rewrite the equation
Solve for u
Substitute the value of u
Solve for x

7. Absolute Value Equations
Solve 4|1 – 2x| - 20 = 0
Isolate the absolute value
Drop the absolute value and write two equations
Solve both equations for x
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