1,045 prompts matching "The equation of the line through two given points"
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Timed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
Show all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Find k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Structured question: add and simplify two polynomials
I am in SS 2. Set me a structured Additional Maths question where I must add two given pol
Worked Example: Substituting a, b and c into the quadratic formula correctly
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi
Show All Working: Choosing between factorising and the formula
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee
Worked Example: The identity linking alpha squared plus beta squared to the sum and product
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the id
Worked Example: Substituting into the quadratic and tidying up
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi
Final Revision: Checking both solutions in both equations
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Worked Example: The discriminant used as the test for intersection
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the di
Final Revision: A word problem about a line and a parabola
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Worked Example: The division algorithm for polynomials
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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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Show All Working: A remainder of nought, and what it means
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a remainder of
Show All Working: What the factor theorem says about the roots
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on what the factor
Learn: Factorising a cubic into three linear factors
You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three
Worked Example: Factorising a cubic into a linear and a quadratic factor
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor
Common Mistakes: A cubic equation arising from a volume problem
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a c