1,045 prompts matching "Quiz: The vector equation of the line through two given points"
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Spot my mistake adding polynomials
Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch
Divide a polynomial by a quadratic
Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de
Worked example: solving x^3-6x^2+11x-6=0
Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic
Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Worked example: simplifying an expression with fractional indices
Act as my SS2 Further Maths tutor. Show me a full worked example of simplifying an express
Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
Worked example: solving a quadratic with complex roots
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq
Give me a full mixed revision test
Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co
Give me a Week 11 revision checklist
Act as my SS2 Further Maths tutor. Based on my Further Mathematics scheme of work covering
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: differentiate y = (2x-1)(x+3) after expanding it first
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
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: Roots equal in magnitude but opposite in sign
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in
Show All Working: Factorising a polynomial with fractional roots
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on factorising a p
Show All Working: Solving a cubic that must first be rearranged
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on solving a cubic