1,044 prompts matching "Practice: The dot product as the magnitudes times the cosine of the angle"
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Factorise 2x^2 - 11x + 5
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^
Teach me quadratic trinomial factorisation
Act as my SS2 Further Maths tutor. Teach me the general method for factorising quadratic t
Explain factorising quadratics back to me
Act as my SS2 Further Maths tutor. I want to check my understanding of factorising quadrat
Spot my mistake in factorising x^2+5x+6
Act as my SS2 Further Maths tutor. I tried to factorise x^2 + 5x + 6 as (x+1)(x+6) but I'm
WAEC-style factorisation question
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics exam-style question
Worked example: factorising a harder trinomial
Act as my SS2 Further Maths tutor. Show me a full worked example of factorising a quadrati
Teach me solving quadratic equations by factorisation
Act as my SS2 Further Maths tutor. Teach me the full method for solving a quadratic equati
Quiz me: solving quadratics by factorisation
Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations to solve by facto
Spot my mistake solving x^2-3x-10=0
Act as my SS2 Further Maths tutor. I solved x^2-3x-10=0 and got x=2 or x=-5. Check my work
WAEC exam question on quadratic equations
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Worked example: word problem leading to a quadratic
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Quiz me on checking both pairs of solutions of a linear-quadratic pair
Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac
Explain substitution method back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the substitutio
Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
WAEC-style simultaneous equation problem
Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics word problem that lea
Why simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
Teach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
Worked example: is this line tangent to this curve
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Explain line-curve intersection conditions back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the discriminan
Spot my mistake finding a tangent condition
Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w