1,044 prompts matching "Find the coefficient command word: binomial expansion"
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Simplify the surd expression sqrt(50) - sqrt(8)
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Simplify the surd expression (3+sqrt2)(3-sqrt2)
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Simplify the surd expression 5/(1+sqrt3)
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Simplify the surd expression (2+sqrt5)^2
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Worked example: construct the truth table for (p AND q) OR (NOT p)
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Real-life application of completing the square
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Real-life application of the quadratic formula
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Real-life application of the remainder theorem
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Real-life application of the factor theorem
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Real-life application of testing the validity of an argument
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Real-life application of the condition for a line to be tangent to a curve
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Give me a 5-minute recap of completing the square
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Give me a 5-minute recap of the quadratic formula
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Give me a 5-minute recap of the remainder theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the remainder theorem