Watch comprehensive video reviews for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.
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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
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.
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AHL 2.12
By expanding
we notice that the sum α+β and product αβ of the roots directly impact the general form of the quadratic.
In a quadratic ax2+bx+c, the roots α and β satisfy
Example
Find the sum and product of the roots of 5x2−10x+3.
The sum is α+β=−ab=−5−10=2 and the product is αβ=ac=53.
AHL 2.12
By expanding
we notice that the sum α+β and product αβ of the roots directly impact the general form of the quadratic.
In a quadratic ax2+bx+c, the roots α and β satisfy
Example
Find the sum and product of the roots of 5x2−10x+3.
The sum is α+β=−ab=−5−10=2 and the product is αβ=ac=53.