Presentation on theme: "PATTERNS, ALGEBRA, AND FUNCTIONS"— Presentation transcript:
1 PATTERNS, ALGEBRA, AND FUNCTIONS AIMS TARGETPATTERNS, ALGEBRA, AND FUNCTIONS
2 Finding the Greatest Common Factor (GCF) Find the GCF of the coefficients of each monomial.Find the variable(s) that are common to each monomial.If there are any variables that are common, use the smallest exponent that the variable is raised to in the monomials.
4 Factoring the GCF from a polynomial Find the GCF, and write it on the outside of a set of parenthesis. GCF( )Divide each term by the GCF, and write the result inside the parenthesis.Example:Factor 3x2 + 6x – 93(x2 + 2x – 3)
6 Factoring trinomialsThe discriminant is b2 – 4ac, and must be a “perfect square number” in order to factor a trinomial. Otherwise, it cannot be factored.Steps to factor a trinomial:(1) Determine first if b2 – 4ac is a perfect square.(2) Find the product of a and |c|.(3) Find two numbers whose product is the same as the product from Step 2 (above) and whose sum or difference is |b|, depending on whether c is positive (sum) or negative (difference).(4) Rewrite the middle term of the trinomial as two terms using the factor pair from Step 2 as the coefficients.(5) Group the first two terms and the last two terms of the new polynomial from Step 3 and factor the GCF from each.(6) Write your answer as the product of the common binomial and the binomial formed by the GCFs from Step 4.