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Factoring Part 3 FACTORING #1: Take out the GCF EX: 2x4 – 8x3 + 4x2 – 6x How to do it…. Find what is in common in each term and put in front. See what is left over. Check answer by distributing. Solution: FACTORING #1: Take out the GCF EX: 2x4 – 8x3 + 4x2 – 6x How to do it…. Find what is in common in each term and put in front. See what is left over. Check answer by distributing. Solution: 2x( ) FACTORING #1: Take out the GCF EX: 2x4 – 8x3 + 4x2 – 6x How to do it…. Find what is in common in each term and put in front. See what is left over. Check answer by distributing. Solution: 2x(x3 ) FACTORING #1: Take out the GCF EX: 2x4 – 8x3 + 4x2 – 6x How to do it…. Find what is in common in each term and put in front. See what is left over. Check answer by distributing. Solution: 2x(x3 – 4x2 ) FACTORING #1: Take out the GCF EX: 2x4 – 8x3 + 4x2 – 6x How to do it…. Find what is in common in each term and put in front. See what is left over. Check answer by distributing. Solution: 2x(x3 – 4x2 + 2x ) FACTORING #1: Take out the GCF EX: 2x4 – 8x3 + 4x2 – 6x How to do it…. Find what is in common in each term and put in front. See what is left over. Check answer by distributing. Solution: 2x(x3 – 4x2 + 2x – 3) FACTORING #1: Take out the GCF EX: 15xy2 – 10x3y + 25xy3 How to do it…. Find what is in common in each term and put in front. See what is left over. Check answer by distributing out. Solution: FACTORING #1: Take out the GCF EX: 15xy2 – 10x3y + 25xy3 How to do it…. Find what is in common in each term and put in front. See what is left over. Check answer by distributing out. Solution: 5xy( ) FACTORING #1: Take out the GCF EX: 15xy2 – 10x3y + 25xy3 How to do it…. Find what is in common in each term and put in front. See what is left over. Check answer by distributing out. Solution: 5xy(3y ) FACTORING #1: Take out the GCF EX: 15xy2 – 10x3y + 25xy3 How to do it…. Find what is in common in each term and put in front. See what is left over. Check answer by distributing out. Solution: 5xy(3y – 2x2 ) FACTORING #1: Take out the GCF EX: 15xy2 – 10x3y + 25xy3 How to do it…. Find what is in common in each term and put in front. See what is left over. Check answer by distributing out. Solution: 5xy(3y – 2x2 + 5y2) FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 5x + 6 How to do it…. Solution: Make a table of factors of the last number. Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 5x + 6 How to do it…. Solution: Make a table of factors of the last number. 6 1 6 2 3 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 5x + 6 How to do it…. Solution: Make a table of factors of the last number. 6 1 6 2 3 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 5x + 6 How to do it…. Solution: (x + 2)(x + 3) Make a table of factors of the last number. 6 1 6 2 3 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 5x + 6 How to do it…. Solution: (x + 2)(x + 3) Check with FOIL Make a table of factors of the last number. 6 1 6 2 3 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 7x + 12 How to do it…. Solution: Make a table of factors of the last number. Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 7x + 12 How to do it…. Solution: Make a table of factors of the last number. 12 1 12 2 6 3 4 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 7x + 12 How to do it…. Solution: Make a table of factors of the last number. 12 1 12 2 6 3 4 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 7x + 12 How to do it…. Solution: (x + 3)(x + 4) Make a table of factors of the last number. 12 1 12 2 6 3 4 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 7x + 12 How to do it…. Solution: (x + 3)(x + 4) Check with FOIL. Make a table of factors of the last number. 12 1 12 2 6 3 4 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 7x + 6 How to do it…. Solution: Make a table of factors of the last number. Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 7x + 6 How to do it…. Solution: Make a table of factors of the last number. 6 1 6 23 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 7x + 6 How to do it…. Solution: Make a table of factors of the last number. 6 1 6 23 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 7x + 6 How to do it…. Solution: (x + 6)(x + 1) Make a table of factors of the last number. 6 1 6 23 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: x2 + 7x + 6 How to do it…. Solution: (x + 6)(x + 1) Check with FOIL. Make a table of factors of the last number. 6 1 6 23 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 - 5x + 4 How to do it…. Solution: Make a table of factors of the last number. Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 - 5x + 4 How to do it…. Solution: Make a table of factors of the last number. 4 1 4 2 2 Pick the factors that add up to the middle number. FACTORING #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 - 5x + 4 How to do it…. Solution: Make a table of factors of the last number. 4 1 4 2 2 Pick the factors that add up to the middle number. None of these work! FACTORING #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 - 5x + 4 How to do it…. Solution: Make a table of factors of the last number. 4 1 4 2 2 Pick the factors that add up to the middle number. None of these work! TRY negatives FACTORING #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 - 5x + 4 How to do it…. Solution: Make a table of factors of the last number. 4 -1 -4 -2 -2 Pick the factors that add up to the middle number. None of these work! TRY negatives FACTORING #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 - 5x + 4 How to do it…. Solution: Make a table of factors of the last number. 4 -1 -4 -2 -2 Pick the factors that add up to the middle number. None of these work! TRY negatives FACTORING #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 - 5x + 4 How to do it…. Solution: (x – 1)(x – 4) Make a table of factors of the last number. 4 -1 -4 -2 -2 Pick the factors that add up to the middle number. None of these work! TRY negatives FACTORING #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 - 5x + 4 How to do it…. Solution: (x – 1)(x – 4) Check with FOIL. Make a table of factors of the last number. 4 -1 -4 -2 -2 Pick the factors that add up to the middle number. None of these work! TRY negatives 2 x + 6x + 5 = 2 x + 6x + 5 = (x + 5)(x + 1) 2 x + 10x + 16 = 2 x + 10x + 16 = (x + 2)(x + 8) 2 a – 5a + 6 = 2 a – 5a + 6 = (a – 2)(a – 3) #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 + 2x - 15 How to do it…. Solution: Make a table of factors of the last number. Pick the numbers that add to be the middle number. #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 + 2x - 15 How to do it…. Solution: Make a table of factors of the last number. 15 1 -15 3 -5 -1 15 -3 5 Pick the numbers that add up to be the middle number. #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 + 2x - 15 How to do it…. Solution: Make a table of factors of the last number. 15 1 -15 3 -5 -1 15 -3 5 Pick the numbers that add up to be the middle number. #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 + 2x - 15 How to do it…. Solution: Make a table of factors of the last number. 15 1 -15 3 -5 -1 15 -3 5 Pick the numbers that add up to be the middle number. (x + 5)(x – 3) #2: Trinomials with a leading coefficient of 1. EX: notice the signs x2 + 2x - 15 How to do it…. Solution: Make a table of factors of the last number. 15 1 -15 3 -5 -1 15 -3 5 Pick the numbers that add up to be the middle number. (x + 5)(x – 3) Check with FOIL. 2 y + 3y - 10 = 2 y + 3y - 10 = 10 2 y + 3y - 10 = 10 1 -10 2 -5 -1 10 -2 5 2 y + 3y - 10 = 10 1 -10 2 -5 -1 10 -2 5 2 y + 3y - 10 = 10 1 -10 2 -5 -1 10 -2 5 (x + 5)(x – 2)