Download Reverse FOIL (Factoring)

Entrance Quiz
1.
(x + 8)(x + 9)
2.
4.
(3x + 5)(3x – 5) 5.
(t – 3)²
3.
(5x + 4)(3x – 2)
(4a + 2)²
6.
(3b – 2)(2b – 3)

IWBAT factor trinomials into binomials using
reverse FOIL


Definition: An equation in which one or more
of the terms is squared but raised to no higher
power.
Standard Form: ax2 + bx + c

Where a, b, and c are numbers and x is the
variable

Simplify using FOIL or Box
( x  2)( x  3) ( x  4)( x  5)
# term is ________
x term is ________________________

Simplify using FOIL or Box
( x  3)( x  7) ( x  3)( x  7)
# term is _________
x term is ________________________

By the end of today you will be able to do this:
x  2x  8
( x  4)( x  2)
2
1.)
Write the
parentheses and x’s
2.)
Choose your signs
3.)
List the factors of
the last number
4.)
Give them signs and
combine

(x
)( x
)

(x +
)(x +
)

16: 1, 16; 2, 8; 4, 4

(x + 2) (x + 8)
1.)
Write the
parentheses and x’s
2.)
Choose your signs
3.)
List the factors of
the last number
4.)
Give them signs and
combine

(x
)( x

(x +
)(x -


)
)
24: 1, 24; 2, 12; 3, 8;
4, 6
(x + 8) (x – 3)
1.)
Write the
parentheses and x’s
2.)
Choose your signs
3.)
List the factors of
the last number
4.)
Give them signs and
combine

(x
)( x
)

(x +
)(x -
)


30: 1, 30; 2, 15; 3,
10; 5, 6
(x - 6) (x + 5)
1.)
Write the
parentheses and x’s
2.)
Choose your signs
3.)
List the factors of
the last number
4.)
Give them signs and
combine

(x
)( x

(x -

16: 1, 16; 2, 8; 4, 4

(x – 4) (x – 4)
)(x -
)
)
1.)
Write the
parentheses and x’s
2.)
Determine the
square root of the
constant
3.)
Write the factors

(x

25 = ±5
)( x
(x + 5) (x – 5)
)