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Published byAmira Kewley Modified over 2 years ago

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Factoring Trinomials When a=1 ALWAYS check for GCF first! Factor trinomials in the standard form ax²+ bx + c Solve equations in the standard form ax²+ bx + c = 0

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Factoring when b and c are positive x²+ 6x + 8 factors(M) sum(A) 1, 8 9 2, and 4 multiply to give you 8 and add together to give you 6. Answer: (x+2)(x+4) Check using FOIL

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Factoring when b is negative and c is positive Both factors need to be negative to have a positive product and a negative sum. x²- 10x + 16 M A -1, , ,-4 -8

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Factoring when b is negative and c is positive Both factors need to be negative to have a positive product and a negative sum. x²- 10x + 16 M A. -1, , ,-4 -8 Answer: (x-2)(x-8)

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Factoring when b is positive and c is negative One factor has to be positive and one has to be negative to get a negative product. x²+ x – 12 M A 1, , , , 6 4 3, , 4 1

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Factoring when b is positive and c is negative One factor has to be positive and one has to be negative to get a negative product. x²+ x – 12 M A 1, , , , 6 4 3, , 4 1 Answer: (x-3)(x+4)

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Factoring when b is negative and c is negative One factor has to be positive and one has to be negative to get a negative product. x²-7x – 18 M A 1, , , , 9 7 3, , 6 3

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Factoring when b is negative and c is negative One factor has to be positive and one has to be negative to get a negative product. x²-7x – 18 M A 1, , , , 9 7 3, , 6 3 Answer: (x+2)(X-9)

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