940 prompts matching "GP with 3rd term 18 and 6th term 486: find a and r"
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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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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Show All Working: Forming an equation whose roots are three alpha and three beta
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Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: Substituting into the quadratic and tidying up
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Show All Working: Adding and subtracting two polynomials
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Common Mistakes: The degree of the quotient and of the remainder
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Show All Working: A remainder of nought, and what it means
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Worked Example: Testing a list of candidates to find a factor
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Explain Back: A polynomial with a repeated linear factor
I have just studied a polynomial with a repeated linear factor in my SS2 Further Mathemati
Common Mistakes: Factorising fully, and knowing when to stop
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Explain Back: A cubic with a repeated root
I have just studied a cubic with a repeated root in my SS2 Further Mathematics class. Let
Explain Back: The truth table for a statement with two connectives
I have just studied the truth table for a statement with two connectives in my SS2 Further
Show All Working: Why a conditional and its converse are not equivalent
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Common Mistakes: Writing the converse, inverse and contrapositive of one statement
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Common Mistakes: Deciding between tautology, contradiction and contingency
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