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    IB Math AASL
    /
    Quadratics
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    Video

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    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Quadratics

    Video Reviews

    Watch comprehensive video reviews for Quadratics, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Quadratics, factors & rootsParabolasProblem solving SL+HLHL only

    The video will automatically pause when it reaches a problem.

    Factoring by inspection

    SL AA 2.6

    We can factor quadratics in the form ax2+bx+c by splitting b into m+n such that that nm multiplies to ac.


    For example, in the quadratic 3x2+8x−3, we want to split 8 into n+m such that nm=−9. We can do this by choosing n=9 and m=−1:


    3x2+9x−x−3 ​=3x(x+3)−1(x+3)=(3x−1)⋅(x+3)​


    Thus 3x2+8x−3=0 when x=31​ or x=−3.

    Factoring by inspection

    SL AA 2.6

    We can factor quadratics in the form ax2+bx+c by splitting b into m+n such that that nm multiplies to ac.


    For example, in the quadratic 3x2+8x−3, we want to split 8 into n+m such that nm=−9. We can do this by choosing n=9 and m=−1:


    3x2+9x−x−3 ​=3x(x+3)−1(x+3)=(3x−1)⋅(x+3)​


    Thus 3x2+8x−3=0 when x=31​ or x=−3.

    Quadratics, factors & rootsParabolasProblem solving SL+HLHL only