987 prompts matching "Index laws with an unknown letter base"
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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
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Worked Example: Factorising a quadratic whose leading coefficient is not one
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor
Show All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Common Mistakes: Writing down the roots once the brackets are found
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Practice: Working through a quadratic by completing the square, step by step
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Practice: Giving the roots correct to two decimal places
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Worked Example: The product of the roots as c over a
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Show All Working: Roots equal in magnitude but opposite in sign
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Practice: The value of alpha to the fourth plus beta to the fourth
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a
Show All Working: The point of contact when a line touches a curve
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Worked Example: The degree of a polynomial in one variable
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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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Practice: A division that leaves no remainder
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Show All Working: Synthetic division as a shorter route
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on synthetic divis
Worked Example: The remainder on dividing by x minus 3
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Practice: The remainder on dividing by 2x minus 1
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Common Mistakes: The remainder theorem applied to a quartic
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Practice: Showing that x plus 3 is a factor of a given polynomial
Act as my SS2 Further Mathematics tutor. Give me five practice questions on showing that x