ACCUPLACER Elementary Algebra

ACCUPLACER Elementary Algebra focuses on assessing and enhancing foundational algebra skills essential for success in higher-level mathematics.

Operations with Integers and Rational NumbersSimplifying Algebraic ExpressionsSolving Linear Equations
Solving and Graphing Linear InequalitiesSystems of Linear EquationsPolynomials and Factoring
Budgeting and Shopping MathTravel and Distance ProblemsRecipe Scaling and Proportions
Mastering Multiple Choice QuestionsTime Management During the Test
Operations with Inte...Simplifying Algebrai...Solving Linear Equat...Solving and Graphing...Systems of Linear Eq...Polynomials and Fact...Budgeting and Shoppi...Travel and Distance ...Recipe Scaling and P...Mastering Multiple C...Time Management Duri...
Advanced Topics

Polynomials and Factoring

What Are Polynomials?

Polynomials are expressions with more than one term, like \( 3x^2 + 2x - 5 \). Each term has a variable raised to a non-negative exponent.

Factoring Polynomials

  • Greatest Common Factor (GCF): Find the largest factor shared by all terms and factor it out.
  • Factoring Trinomials: Break into two binomials (for example, \( x^2 + 5x + 6 = (x + 2)(x + 3) \)).

Why It Matters

Factoring helps solve equations, simplify expressions, and is essential for graphing parabolas and more.

Everyday Example

Factoring is like breaking down a recipe into its basic ingredients!

Examples

  • Factor \( 6x^2 + 9x = 3x(2x + 3) \).

  • Factor \( x^2 + 5x + 6 = (x + 2)(x + 3) \).

In a Nutshell

Learn to break down polynomials into simpler parts, making them easier to work with and solve.

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Budgeting and Shopping Math