1,045 prompts matching "IGCSE Additional Maths Y10: Two distinct roots, and what the discriminant shows"
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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the determinant of [[5,2],[3,4]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find the inverse of [[2,1],[5,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find the term in x^3 in the expansion of (2x-1)^6
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Timed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Spot my mistake in a quadratic inequality solution
I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether
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
Structured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as
Explain back: completing the square when the coefficient of x squared is not one
I have just studied completing the square when the coefficient of x squared is not one in
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
Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Explain Back: The value of alpha minus beta, all squared
I have just studied the value of alpha minus beta, all squared in my SS2 Further Mathemati
Explain Back: Writing the answers as ordered pairs
I have just studied writing the answers as ordered pairs in my SS2 Further Mathematics cla
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
Explain Back: The condition for the line never to meet the curve
I have just studied the condition for the line never to meet the curve in my SS2 Further M
Worked Example: The degree of a polynomial in one variable
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the de