919 prompts matching "Structured question: solve a trig equation for all solutions in range"
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Learn: What makes an expression in the roots symmetric
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Quiz: The value of one over alpha squared plus one over beta squared
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Worked Example: Substituting into the quadratic and tidying up
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Quiz: Solving the quadratic that results from the substitution
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Explain Back: Writing the answers as ordered pairs
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Learn: What makes an expression a polynomial
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Worked Example: The degree of a polynomial in one variable
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Quiz: The leading term and the constant term
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Spot My Mistake: A polynomial written in descending powers
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Learn: Setting out the division of a cubic by a linear expression
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Quiz: Dividing a quartic by a quadratic
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Explain Back: A division that leaves a constant remainder
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Spot My Mistake: A division that leaves a linear remainder
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Learn: The statement of the remainder theorem
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Worked Example: The remainder on dividing by x minus 3
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Quiz: The remainder on dividing by x plus 2
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Explain Back: Finding a coefficient when the remainder is given
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Spot My Mistake: Finding two coefficients from two remainder conditions
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