### 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.

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Sample Problems
(21)

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###### 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