998 prompts matching "Practice: Finding an unknown force from a closed polygon"
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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Learn: Factorising a quadratic whose coefficient of x squared is one
You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose
Quiz: Factorising a difference of two squares in order to solve it
Act as my SS2 Further Mathematics tutor and quiz me on factorising a difference of two squ
Learn: Making the coefficient of x squared equal to one first
You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq
Quiz: Completing the square on x squared plus 6x
Act as my SS2 Further Mathematics tutor and quiz me on completing the square on x squared
Learn: Deriving the quadratic formula by completing the square
You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula
Quiz: A negative value of b in the quadratic formula
Act as my SS2 Further Mathematics tutor and quiz me on a negative value of b in the quadra
Learn: The sum of the roots as minus b over a
You are my personal SS2 Further Mathematics tutor. Teach me the sum of the roots as minus
Quiz: The value of one over alpha squared plus one over beta squared
Act as my SS2 Further Mathematics tutor and quiz me on the value of one over alpha squared
Learn: Forming the quadratic that decides where a line meets a curve
You are my personal SS2 Further Mathematics tutor. Teach me forming the quadratic that dec
Quiz: The condition for two points of intersection
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Learn: Setting out the division of a cubic by a linear expression
You are my personal SS2 Further Mathematics tutor. Teach me setting out the division of a
Quiz: Dividing a quartic by a quadratic
Act as my SS2 Further Mathematics tutor and quiz me on dividing a quartic by a quadratic.
Learn: The statement of the remainder theorem
You are my personal SS2 Further Mathematics tutor. Teach me the statement of the remainder
Quiz: The remainder on dividing by x plus 2
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Learn: The statement of the factor theorem
You are my personal SS2 Further Mathematics tutor. Teach me the statement of the factor th
Quiz: Which values are worth testing as factors
Act as my SS2 Further Mathematics tutor and quiz me on which values are worth testing as f