Integrated Math 2 - Chapter 4 Toolkit
Name
GCF=__________ ___________ ___________
Rewrite each expression using the GCF:
a. 3x2 + 12x – 27
b. 4y3 – 10y2
c. 12xy3 + 15x3y2
d. 5m2 – 10m
Period
Generic Rectangle
a. Fill in the missing dimensions.
4x
10
2x2
5x
b. Write area as a sum and a product
c. What do the diagonals have in common?
Polynomials
Quadratic Expressions
Write an example of a:
a. Definition of a quadratic:
monomial
b. Examples:
(factored form)
quadratic written as a sum = quadratic written as a product
binomial
trinomial
x2 + 5x + 6
=
2x2 + 8
=
Factoring Quadratic Expressions with a Generic Rectangle and Diamond Problem
Therefore…2x2 – 7x + 6 = (
Given: Factor 2x2 – 7x + 6
Factoring Special Cases:
Difference of Squares
)(
)
Greatest Common Factor (GCF)
(“difference” refers to the mathematical
operation of _________________ )
a. x2 – 4 = (
+
)(
–
)
d. x2 – 4x = ___(
–
)
b. 9x2 – 4 = (
)(
)
e. 8x2 + 12x = ___ (
)
c. x2 – y2 = (
)(
)
f. 10x – 40 = ___(
)
Integrated Math 2 – Chapter 4 Toolkit
Factoring Completely:
a. 9x2 + 15x + 6 = ___ (
= ___ (
+
)(
)
+
b. 2x2 – 12x + 18 = ___
=
(
___ (
)
)
–
)(
–
)2
) OR ___(
c. 25x3 + 15x2 – 10x =
Factoring Quadratics by applying the FOIL Method
F=
O=
I=
L=
Examples: a.
3x2 + 5x – 2 =
(
)(
)
x2 – 12x + 36 = (
)(
)
c. 5x2 + 12x + 4 = (
)(
)
b.
)2
OR (
Identifying the Hypotenuse and Opposite/Adjacent Legs of a Right Triangle





Trig Ratios: Sine, Cosine, and Tangent
sinθ 

cos θ 

(given an angle, find a missing side)
tanθ 

Soh Cah Toa
Inverse Trigonometry: Use sin-1, cos-1, tan-1 to “undo” the three trig functions.
(given side ratio, find missing angle)
cos θ 
θ = cos1 




Note: Be sure calculator mode is set to degrees!
θ
2
Integrated Math 2 – Chapter 4 Toolkit
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