Several Methods 1.Trial and Error – More mental math 2.Grouping – Longer method FACTORING TRINOMIALS WITH LEADING COEFFICIENT > 1.

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Presentation transcript:

Several Methods 1.Trial and Error – More mental math 2.Grouping – Longer method FACTORING TRINOMIALS WITH LEADING COEFFICIENT > 1

TRIAL AND ERROR Example #1 ( FROM HANDOUT ) 3p 2 – 2p – 5 First find any GCF List factors of 1 st and last term Factors of 3Factors of 5 (3, 1)(5, 1) Try factors in binomial form; (3x -5)(x + 1)

TRIAL AND ERROR Ex; 3x x + 10 Factor out any GCF List factors of 1 st and last terms Factors of 3Factors of 10 (3, 1)(2, 5) (1, 10) Try combinations in binomial form; Solution; (3x + 2)(x + 5)

GROUPING E XAMPLE ; 3X X + 10 Step 1; Check for GCF Step 2: Multiply 1 st and last term; 30 Step 3: List all factors; (1, 30), (2, 15), (3, 10), (5, 6) Step 4: Select factors whose sum equal middle term (2, 15) Step 5: Split middle term into new found factors 3x 2 + 2x + 15x +10 Step 6: Use Grouping to complete factorization x(3x + 2) + 5(3x + 2) Solution: (3x + 2)(x + 5)

GROUPING E XAMPLE #2 ( FROM HANDOUT ) 2n 2 + 3n – 9 Check GCF Multiply 1 st and last term; -18 Factors of last term; (1, -18), (-1, 18), (2, -9), (-2, 9), (-3, 6), (3, -6) Select factors whose sum equals middle term; (-3, 6) Split middle term into new found factors; 2n 2 – 3n + 6n – 9 Group and factor completely n(2n – 3) + 3(2n – 3) Solution; (2n – 3)(n + 3)