### Concept (1)

Multiplying rational expressions is basically two simplifying problems put together. When **multiplying rationals**, factor both numerators and denominators and identify equivalents of one to cancel. Dividing rational expressions is the same as multiplying with one additional step: we take the reciprocal of the second fraction and change the division to multiplication.

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Sample Problems
(11)

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###### Problem 1

How to factor a trinomial with a leading coefficient of 1 and b and c both positive.

###### Problem 2

How to factor a trinomial with a leading coefficient of 1, b is positive, and c is negative.

###### Problem 3

How to factor a trinomial with a leading coefficient of 1, b is negative and c is positive.

###### Problem 4

How to recognize a trinomial that can not be factored.

###### Problem 5

Overview of factoring with an area, or rectangle method

###### Problem 6

Factoring triomials where "a" is one, and both "b" and "c" are positive

###### Problem 7

Factoring triomials where "a" is one, "c" is positive, and "b" is negative

###### Problem 8

Factoring triomials where "a" is one, and "b" and "c" are both negative

###### Problem 9

A box, or rectangle area representation of factoring trinomials, here where "a" = 1

###### Problem 10

Factoring triomials where "a" is one, "b" is positive, and "c" is negative

###### Problem 11

Using "diamond puzzles" to practice the skills of factoring trinomials. These puzzles practice finding products and sums in the same way factoring does.