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Published byAmira Kewley Modified over 4 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, 4 6 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,-16 -17 -2,-8 -10 -4,-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,-16 -17 -2,-8 -10 -4,-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,-12 -11 -1, 12 11 2, -6 -4 -2, 6 4 3,-4 -1 -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,-12 -11 -1, 12 11 2, -6 -4 -2, 6 4 3,-4 -1 -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,-18 -17 -1, 18 17 2,-9 -7 -2, 9 7 3,-6 -3 -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,-18 -17 -1, 18 17 2,-9 -7 -2, 9 7 3,-6 -3 -3, 6 3 Answer: (x+2)(X-9)

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ax2 + bx + c 2x2 + 11x + 5 ac 2(5) = b =11 ( ) 2x2 + 10x + 1x

ax2 + bx + c 2x2 + 11x + 5 ac 2(5) = b =11 ( ) 2x2 + 10x + 1x

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