Mat 0990 Course Curriculum Template (Page 3 of 3) in pdf

72. Multiply polynomials involving the difference of squares.

73. Multiply polynomials involving a perfect square trinomial.

74. Multiply two polynomials.

75. Find the area or volume of a rectangle involving the multiplication of polynomials.

76. Divide polynomials using monomial division.

77. Divide polynomials using long division where all powers are represented.

78. Divide polynomials using long division where at least one power is missing.

79. Identify the GCF of two integers.

80. Identify the GCF of two or more monomials.

81. Factor out the GCF of a polynomial.

82. Factor by grouping.

83. Factor a trinomial with a leading coefficient of 1.

84. Factor a trinomial with a leading coefficient not equal to 1.

85. Factor a perfect square trinomial.

86. Factor the difference of squares.

87. Solve a quadratic equation using the zero product rule.

88. Solve a higher degree polynomial equation using the zero product rule.

89. Solve applications of quadratic equations involving translations, area of rectangular

objects, and position equations.

90. Solve applications involving the Pythagorean Theorem.

91. Find and state the domain of a rational expression in set-builder notation.

92. Simplify a rational expression to lowest terms.

93. Simplify a rational expression involving -1 to lowest terms.

94. Multiply two rational expressions.

95. Divide two rational expressions.

96. Find the LCD of two or more rational expressions.

97. Add or subtract two rational expressions with a common denominator.

98. Add or subtract two rational expressions without a common denominator.

99. Use order of operations to simplify three or more rational expressions.

100. Solve rational equations.

101. Solve formulas with rational expressions for specific variables.

102. Solve proportions.

103. Solve applications of proportions and similar triangles.

104. Solve applications of rational equations involving distance, rate, and time.

105. Solve applications of rational equations involving work rate.

106. Identify the square roots of a number.

107. Find the principal square root of a real number (if possible).

108. Simplify expressions of the form √a .

109. Simplify a radical expression using the multiplication property of radicals.

110. Solve a quadratic equation by applying the square root property.

111. Solve a quadratic equation by applying the quadratic formula.

112. Solve any quadratic equation by using the zero product rule, the square root property, or

by applying the quadratic formula.

Mat 0990 Course Curriculum Template Page 3