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8.5 Factoring + bx + c

8.5 Factoring + bx + c. Day 2. Standard form of a Quadratic equation: y = ax 2 + bx + c. Factor pairs of 24. - 11x + 24. 1,24. - 11x + 24. 2,12. 3,8. +24. - 3x. -8 x. 4,6. +. (-8x + 24). - 3x) . Find 2 numbers that:. -8(x - 3) . x(x - 3) . a= b= c=. 1. 24.

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8.5 Factoring + bx + c

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  1. 8.5 Factoring + bx + c Day 2

  2. Standard form of a Quadratic equation: y = ax2+ bx + c Factor pairs of 24 - 11x + 24 1,24 - 11x + 24 2,12 3,8 +24 - 3x -8x 4,6 + (-8x + 24) - 3x) Find 2 numbers that: -8(x - 3) x(x - 3) a= b= c= 1 24 Multiply ac Add up to b: (x - 3) (x - 8) -11 -11 24 Check, FOIL -3 -8 - 8 x - 3x + 24 - 11x + 24

  3. Standard form of a Quadratic equation: y = ax2+ bx + c Factor pairs of 30 - 17x + 30 1,30 - 17x + 30 2,15 3,10 +30 -2x -15x 5,6 + (-15x + 30) - 2x) Find 2 numbers that: - 15(x - 2) x(x - 2) a= b= c= 1 30 Multiply ac Add up to b: (x - 2) (x - 15) -17 -17 30 Check, FOIL -2 -15 -2x - 15x + 30 - 17x + 30

  4. Standard form of a Quadratic equation: y = ax2+ bx + c Factor pairs of -12 - 4x - 12 1, 12 -1,12 1,-12 - 4x - 12 -2,6 2,-6 -3,4 3, -4 -12 + 2x - 6x + (-6x - 12) + 2x) Find 2 numbers that: -6(x + 2) x(x + 2) a= b= c= 1 -12 Multiply ac Add up to b: (x + 2) (x - 6) -4 -4 -12 Check, FOIL 2 -6 - 6x + 2x - 12 - 4x - 12

  5. Standard form of a Quadratic equation: y = ax2+ bx + c Factor pairs of -40 + 3x - 40 -1,40 1, 40 1,-40 +3x - 40 -2,20 2,-20 -4,10 4, -10 - 40 - 5x + 8x -5, 8 5, -8 + (8x - 40) - 5x) Find 2 numbers that: +8(x - 5) x(x - 5) a= b= c= 1 -40 Multiply ac Add up to b: (x - 5) (x + 8) 3 3 -40 Check, FOIL -5 8 -5x - 40 + 8x + 3x - 40

  6. Standard form of a Quadratic equation: y = ax2+ bx + c Factor pairs of -28 + 3x - 28 1, 28 -1, 28 1,-28 + 3x - 28 -2,14 2,-14 -4,7 4, -7 - 28 - 4x + 7x + (7x - 28) - 4x) Find 2 numbers that: + 7(x - 4) x(x - 4) a= b= c= 1 -28 Multiply ac Add up to b: (x - 4) (x + 7) 3 3 -28 Check, FOIL -4 7 -4x - 28 + 7x + 3x - 28

  7. Standard form of a Quadratic equation: y = ax2+ bx + c Factor pairs of -20 - x - 20 1, 20 -1,20 1,-20 - x - 20 -2,10 2,-10 -4,5 4, -5 -20 + 4x - 5x + (-5x - 20) + 4x) Find 2 numbers that: -5(x + 4) x(x + 4) a= b= c= 1 -20 Multiply ac Add up to b: (x + 4) (x - 5) -1 -1 -20 Check, FOIL 4 -5 - 5x + 4x - 20 - x - 20

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