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Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

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Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

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Dependent Variable

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Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

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Factoring

• The process of finding polynomials whose
product equals a given polynomial is
called factoring.

• Prime polynomial: A polynomial with
variable terms that cannot be written as a
product of two polynomials of lower
degree.

Factoring Out the Greatest Common Factor

Factoring by Grouping

When a polynomial has more than three terms, it
can sometimes be factored by grouping.

Factoring Trinomials

Factoring trinomials requires using the FOIL
method in reverse.
To factor ax² + bx + c we find integers a₁, a₂, c₁,
and c₂ such that:

where a₁ and a₂ are factors of a, and c₁ and c₂ are
factors of c.

Perfect Square Trinomials

Factoring Special Binomials

Difference of Squares: x² - y² = (x + y)(x - y)
Sum of Cubes: x³ + y³ = (x + y)(x² - xy + y³)
Difference of Cubes: x³ + y³ = (x - y)(x² + xy + y³)

Check by multiplying.

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Factoring