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New! - Multiplication game - catch the hodag!


Adding and subtracting with negatives activity


Factoring Game


How to solve:
Solve for x: x2 + 5x + 6 = 0

(x + a)(x + b) = x2 + (a + b)x + ab. Your goal is to find two numbers, a and b,

so that a + b = 5 and ab = 6.

List pairs of numbers that multiply together to get 6: 1 * 6 = 6,
2 * 3 = 6,
-1 * -6 = 6,
-2 * -3 = 6
From the pairs above, find the pair that adds up to 5: 2 + 3 = 5
These two numbers (2 & 3) are used to determine the factors. (x + 2) (x + 3) = 0.
Set each factor equal to 0: x + 2 = 0 , x + 3 = 0
Solve each equation: x = -2, x = -3

Another example: x2 + 2x - 15 = 0

(x + a)(x + b) = x2 + (a + b)x + ab. Your goal is to find a and b,

given that a + b = 2 and ab = -15.

List pairs of numbers that multiply together to get -15: 1 * -15 = -15,
-1 * 15 = -15,
-3 * 5 = -15,
3 * -5 = -15
From the pairs above, find the pair that adds up to 2: -3 + 5 = 2
These two numbers (-3 & 5) are used in the factors. (x - 3) (x + 5) = 0.
Set each factor equal to 0: x - 3 = 0 , x + 5 = 0
Solve each equation: x = 3, x = -5

Here's one to try:

      






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(Starts timer)
     




              





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