1,045 prompts matching "Quiz: The remainder theorem, and the remainder on dividing by x minus a"
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Show All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
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: 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
Show All Working: Translating an English sentence into logical symbols
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on translating an
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
Difference of two squares practice
Act as my SS2 Further Maths tutor. Teach me how to recognise and factorise a difference of
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
Worked example: word problem leading to a quadratic
Act as my SS2 Further Maths tutor. Show me a full worked example of a word problem that le
Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
Worked example: is this line tangent to this curve
Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's
Teach me what a polynomial is
Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term
Teach me collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
Spot my mistake adding polynomials
Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch
Teach me compound statement symbols
Act as my SS2 Further Maths tutor. Teach me the standard symbols used for compound stateme
Spot my mistake identifying a compound statement symbol
Act as my SS2 Further Maths tutor. I identified the symbol used in a compound statement bu
Worked example: truth table for a compound statement
Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth
Spot my mistake in a truth table
Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu
Explain truth tables back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to build a truth table
Worked example: proving two statements are logically equivalent
Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo