Download - Unit 2: Expressions and Polynomials
Unit 2: Expressions and Polynomials
Unit 2: Expressions and PolynomialsGCF and Factoring
GCFGreatest Common FactorThe largest factor in common between two numbers
Ex: The GCF between 25 and 30 is 5Ex: The GCF between 4x and 10 is 2Ex: The GCF between 5mnp and 15mp is 5mp
GCF and FactoringFactor the GCF out of the following polynomial
Factoring PolynomialsReview:
Factoring Polynomials Bottoms Up!To factor polynomials in the form
Use the Bottoms Up MethodThis method works for factoring any type of polynomial!
Bottoms Up! StepsStep 1: Multiply a and c togetherStep 2: Find 2 number that multiply to give (ac) and add to give bStep 3: Place each of those numbers inside of separate binomials with x at the beginningStep 4: Divide each of the constants by aStep 5: If any constant is in fraction form, multiply each term in that binomial by the denominator
Factoring Polynomials: Bottoms Up!Example:FactorStep 1: Multiply a and c together1 x 45 = 45Step 2: Two numbers that multiply to give 45 and add to give 149 and 5Step 3: Place each number inside of binomials(x + 9) (x + 5)Step 4: Divide each of the constants by aa equals 1, so there is no need to divide further.
Your answer is (x + 9)(x + 5)
Factoring Polynomials: Bottoms Up!Factor the following polynomial:
Step 1: Multiply a and c together2 x 18 = 36
Step 2: Two numbers that multiply to give 36 and add to give 1512 and 3
Step 3: Place each number inside of binomials(x + 12) (x + 3)
Factoring Polynomials: Bottoms Up!Step 4: Divide each of the constants by
Step 5: Since is not an integer, multiply the 2nd binomial by 2 to get rid of the fraction.
Your final answer is
Try!Factor the following:1)
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