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Factorising Expressions Lesson Objective: Can you factorise an expression correctly?
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A* GradeA/B GradeB/C GradeC/D Grade Factorise complex quadratics Factorise two squared numbers Factorise simple quadratics Factorise simple equations Objectives How far can you go?
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Have a go at factorising these: QuestionsExamples
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Factorising Two Squared Numbers
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Identify the Squared Numbers
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Factorising Two Squared Numbers
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Factorising Quadratic Expressions Lesson Objective: Can you factorise a quadratic expression? Extension
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x²?x +8 x x +2 +4 Add to +6x Pairs of numbers that multiply to make “+8”: +1 and +8 -1 and -8 +2 and +4 -2 and -4 Which pair adds to make “+6”?
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x²?x +16 x x -2 -8 Add to -10x Pairs of numbers that multiply to make “+16”: +1 and +16 -1 and -16 +2 and +8 -2 and -8 +4 and +4 -4 and -4 Which pair adds to make “-10”?
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x²?x -8 x x +2 -4 Add to -2x Pairs of numbers that multiply to make “-8”: +1 and -8 -1 and +8 +2 and -4 -2 and +4 Which pair adds to make “-2”?
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x²?x -8 x 3x +5 +1 Add to +16x Pairs of numbers that multiply to make “+5”: +1 and +5 -1 and -5 Which pair, when you multiply one by 3 then add the other, adds to make “+16”? Careful which way round they go!
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Solving Quadratic Equations by Factorising Lesson Objective: Can you solve a quadratic equation by factorising? Extension
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Solving Quadratics by Factorising Example 1Example 2
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Solve by factorising:
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Simplifying Algebraic Fractions Lesson Objective: Can you simplify algebraic fractions by factorising numerators and denominators? Extension
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Can you simplify this fraction?
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What about this fraction? Cancel any brackets that are exactly the same
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Have a go at simplifying these:
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Completing The Square Lesson Objective: Can you complete the square? Extension
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The Quadratic Won’t Factorise Nicely! Half the 8 Square the 4 From the question
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Try another one… Half the -10 Square the 5 From the question
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Complete the square for these:
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The Quadratic Formula Lesson Objective: Can you solve a quadratic by using the quadratic formula? Extension
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The Quadratic Formula:
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Example 1: This is the give away that you have to use the formula!
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Example 2: This is the give away that you have to use the formula!
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Try solve these to 2d.p.:
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Quadratic Simultaneous Equations Lesson Objective: Can you solve simultaneous equations involving a quadratic? Extension
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Make sure they equal zero! It must equal zero!
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Try this one:
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