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Starter Revision Worksheet

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Note 6: Expanding Brackets One Bracket: Multiply the outside term by everything inside the brackets Simplify if possible Examples: -4(x + 3) = x(3x – 6) =-4x - 12 3x 2 – 6x 4(3x – 5) – 2(7 – x) = 12x - 20 – 14 + 2x = 14x - 34

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Two Bracket (Quadratics): Everything in the first bracket gets multiplied with everything in the second bracket Examples: (x + 3)(x – 6)= x 2 - 6x + 3x - 18 = x 2 – 3x - 18 (2x – 5)(3 – x) = 6x – 2x 2 – 15 + 5x = -2x 2 + 11x - 15

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A perfect square has both brackets the same Example: (x + 9) 2 = x 2 + 9x + 9x + 81 = x 2 + 18x + 81 (x – 5)(x + 5) = x 2 + 5x – 5x - 25 = x 2 - 25 = (x + 9)(x + 9) The difference of two squares has two brackets the same except for the signs (+ or -), when expanded there will be no middle term

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Page 45 Exercise G and H

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5.3 Solving Quadratic Functions with Square Roots Step 1: Add or subtract constant to both sides. Step 2: Divide or multiply coefficient of “x” to both.

5.3 Solving Quadratic Functions with Square Roots Step 1: Add or subtract constant to both sides. Step 2: Divide or multiply coefficient of “x” to both.

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