1,045 prompts matching "Quiz: Rationalising a denominator of the form one over root 3"
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Give your answer correct to command word: quadratic formula
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WAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al
Structured question: find coordinates of intersection points
I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th
Worked Example: Factorising a quadratic whose leading coefficient is not one
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Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Common Mistakes: Writing down the roots once the brackets are found
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Spot My Mistake: Completing the square when the roots are not real
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Practice: Forming an equation from a given sum and product
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Worked Example: Substituting into the quadratic and tidying up
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Explain Back: Writing the answers as ordered pairs
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Show All Working: A simultaneous pair in which the second equation is a circle
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Worked Example: The discriminant used as the test for intersection
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Explain Back: The condition for the line never to meet the curve
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Practice: Polynomial notation such as P of x
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Worked Example: The division algorithm for polynomials
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Show All Working: Synthetic division as a shorter route
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Worked Example: The remainder on dividing by x minus 3
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