Math 1200 College Algebra Page 2
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3IV.
POLYNOMIALS IN ONE OR MORE VARIABLES
A.
Laws of integral exponents; multiplication of monomials
B.
Addition and subtraction
C.
Multiplication of two polynomials, including FOIL method
D.
Special products
1.
Square of a binomial
2.
Multiplying the sum and difference of two terms
E.
Division
1.
Polynomial by a monomial
2.
Polynomial by a polynomial
F.
Factoring
1.
Polynomials with a common factor
2.
The difference of two squares
3.
Perfect square trinomials
4.
General trinomials
5.
Sum and difference of perfect cubes
6.
Factoring by grouping
V.
ALGEBRAIC FRACTIONS
A.
Multiplication and division
B.
Simplest form of a fraction, restrictions on the variable
C.
Least common multiple
D.
Addition and subtraction
E.
Complex fractions
F.
Fractional equations that reduce to linear equations
VI.
EXPONENTS AND RADICALS
A.
Radicals
1. Definitions
2. Laws of radicals
3.
Simplest radical form
B.
Operations with radical expressions
1.
Addition and subtraction
2.
Multiplication
3.
Division: rationalizing denominator
(including conjugates and roots other than the square root)
C.
Rational exponents
1.
Definitions
2.
Laws of exponents
3.
Simplifying expressions involving rational exponents
D.
Solving equations involving radicals that reduce to linear equations
VII.
QUADRATIC EQUATIONS
A.
Review of solving by factoring
B.
Factoring by completing the square
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