1,029 prompts matching "Learn: Telling a rational number from an irrational one"
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Express in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
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
Spot My Mistake: Solving a quadratic that must be rearranged before factorising
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Worked Example: Halving the coefficient of x and squaring it
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Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Worked Example: Substituting a, b and c into the quadratic formula correctly
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Spot My Mistake: What the formula gives when the discriminant is nought
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Explain Back: Finding a missing coefficient from a stated sum of roots
I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur
Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Final Revision: Using a symmetric function to find an unknown coefficient
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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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Worked Example: The discriminant used as the test for intersection
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Practice: The condition for the line to be a tangent
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Final Revision: A word problem about a line and a parabola
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Worked Example: The degree of a polynomial in one variable
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Explain Back: A division that leaves a constant remainder
I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat
Worked Example: Testing a list of candidates to find a factor
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