1,334 prompts matching "Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1"
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Verifying an inverse function is correct
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on veri
Domain and range of an inverse function
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Graphs of a function and its inverse as reflections
I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec
Multi-part function exam question
I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha
Restricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
WAEC-style past question on functions
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Function machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
Structured question: solve an exponential equation using indices
I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik
Structured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Structured question: solve a logarithmic equation with two conditions
I am in SS 3. Give me a structured question where I solve a logarithmic equation and must
Structured question: geometric progression with two given terms
I am in SS 3. Give me a structured geometric progression question where two non-consecutiv
Show that command word: biconditional equivalence
I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo
Structured question: identify a tautology using a truth table
I am in SS 3. Set me a structured question where I build a truth table for a compound stat
WAEC exam question: circular permutation with a condition
I am in SS 3. Give me a WAEC-style Further Maths question on circular permutations where t
Spot my mistake in a combination calculation
I am in SS 3. I will show you my working for a combination problem. Check whether I used n
Structured question: probability using combinations, exam style
I am in SS 3. Give me a structured question where I must find a probability by dividing th
Solve x^2 + 13x + 40 = 0 with full exam working
I am in SS 3. Give me the equation x^2 + 13x + 40 = 0 as an Additional Maths exam question
Solve 5x^2 + 13x - 6 = 0 with full exam working
I am in SS 3. Give me the equation 5x^2 + 13x - 6 = 0 as an Additional Maths exam question
Solve 3x^2 + x - 14 = 0 with full exam working
I am in SS 3. Give me the equation 3x^2 + x - 14 = 0 as an Additional Maths exam question
Structured question: three-part algebra question mixing methods
I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati