1,334 prompts matching "Test me under exam conditions on polynomials and the remainder/factor theorems"
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Practice: The argument of a complex number in the second or third quadrant
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the argument o
Practice: The addition of complex numbers shown on an Argand diagram
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Quiz: The roots of a complex number shown on an Argand diagram
Act as my SS3 Further Mathematics tutor and quiz me on the roots of a complex number shown
Practice: Why complex roots of a real quadratic come in conjugate pairs
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro
Worked Example: The quotient rule for differentiation
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Worked Example: Classifying a stationary point by the sign of the gradient either side
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Practice: The conservation of momentum in a collision
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Quiz: Newton's third law, and identifying the pair of forces
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Spot My Mistake: The sum of the first n terms of an arithmetic progression
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Practice: The sum to infinity of a convergent geometric series
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Quiz: The remainder theorem, and the remainder on dividing by x minus a
Act as my SS3 Further Mathematics tutor and quiz me on the remainder theorem, and the rema
Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Solve simultaneous equations with Cramer's rule (order 2) #1
I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient
Solve simultaneous equations with Cramer's rule (order 2) #2
I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien
Solve simultaneous equations with Cramer's rule (order 2) #3
Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a
Solve a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y
Solve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
Solve a 3x3 simultaneous equation system with Cramer's rule #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
Resolve a force into horizontal and vertical components #3
I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to
Explain standard deviation and the normal curve
I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c