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Answers

Factorisation

Answers given with working shown

1. (x + 2)(x + 6) = 0

    so either:

    (x + 2) = 0 so x = -2 or (x + 6) = 0 so x = -6         solutions x = -2 x = -6

2. (x + 1)(x - 4) = 0

    so either:

    (x + 1) = 0 so x = -1 or (x - 4) = 0 so x = 4             solutions x = -1 x = 

3. (x + 4)(x + 7) = 0

    so either:

    (x + 4) = 0 so x = -4 or (x + 7) = 0 so x = -7           solutions x = -4 x = -7

4. (2x - 1)(x + 3) = 0

    2x - 1 = 0 or x + 3 = 0 so x = -3                             solutions x = 1/2 x = -3

    2x = 1

    x = 1/2

5. (4x - 3)(x - 2) = 0

    so either:

    4x - 3 = 0 or x - 2 = 0 so x = 2                             solutions x = 3/4 x = 2

    4x = 3

    x = 3/4

6. (x + 2)(x + ) = 0

    so either:

    x + 2 = 0 so x = -2 or x + 6 = 0 so x = -6                solutions x = -2 x = -6

7. (x + 7)(x - 5) = 0

    so either:

    x + 7 = 0 so x = -7 or x - 5 = 0 so x = 5                 solutions x = -7 x = 5

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