Concept (1)

Solving rational equations is substantially easier with like denominators. When solving rational equations, first multiply every term in the equation by the common denominator so the equation is "cleared" of fractions. Next, use an appropriate technique for solving for the variable.

Sample Problems (22)

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Solve by factoring:

x² + 4x = 0
Problem 1
How to solve quadratic equations by factoring when one factor is x.

Solve by factoring:

x² + 2x = 15
Problem 2
How to solve quadratic equations by factoring if the equation is not in standard form.

Solve by factoring:

x² + 6x + 9 = 0
Problem 3
How to solve quadratic equations by factoring if there is only one solution.

Solve by factoring:

-3x² − 18x = 27
Problem 4
How to solve quadratic equations by factoring by simplifying coefficients.
Problem 5
How to solve projectile motion problems using the quadratic function.
Problem 6
How to solve a quadratic equation by factoring when the leading coefficient is not one.
Problem 7
How to solve quadratic equations by factoring the difference of perfect squares.
Problem 8
How to solve a quadratic equation by factoring when the leading coefficient is one.
Problem 9
Factoring by grouping to solve polynomial equations.
Problem 10
Finding the dimensions of a box if you know the volume.
Problem 11
How to solve quadratic equations by expanding, writing in standard form, and factoring.
Problem 12
How to solve geometric relationships using area models, the Pythagorean Theorem, and factoring.
Problem 13
How to use difference of perfect squares and greatest common factors to solve equations by factoring
Problem 14
How to solve polynomial equations by factoring with a greatest common factor
Problem 15
Explanatin of why it is valid to divide both sides of a quadratic equation by a constant, but not by a variable
Problem 16
Solving quadratic equations by factoring when the a value is one
Problem 17
Geometry applications of solving quadratic equations by factoring, including rectangle, triangle, and circle areas
Problem 18
Area of rectangles application of solving a quadratic from factored form
Problem 19
Solving quadratic equations by factoring when the a value is not one
Problem 20
Finding the zeros of a polynomial by factoring
Problem 21
Pythagorean Theorem problems that involve squaring and factoring binomials
Problem 22
Using quadratics to determine when an object will hit the ground