755 prompts matching "Use the remainder theorem on x^3 - 2x^2 + 3x - 4 divided by x - 1"
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Show All Working: A word problem that leads to an indicial equation
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on a word problem
Common Mistakes: An indicial equation solved by substitution
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on an
Final Revision: Checking an indicial solution by substitution
Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Spot My Mistake: The logarithm of the base itself
Act as my SS1 Further Mathematics tutor. Work a question on the logarithm of the base itse
Common Mistakes: Reading a logarithm from a table
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on rea
Worked Example: The law for the logarithm of a quotient
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on the la
Quiz: The law for the logarithm of a power
Act as my SS1 Further Mathematics tutor and quiz me on the law for the logarithm of a powe
Practice: Combining two logarithms into one
Act as my SS1 Further Mathematics tutor. Give me five practice questions on combining two
Show All Working: Solving a simple logarithmic equation
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on solving a simpl
Common Mistakes: Rejecting a root that makes a logarithm undefined
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on rej
Explain Back: A logarithmic equation written in two different bases
I have just studied a logarithmic equation written in two different bases in my SS1 Furthe
Spot My Mistake: A logarithm to base e, the natural logarithm
Act as my SS1 Further Mathematics tutor. Work a question on a logarithm to base e, the nat
Common Mistakes: A logarithmic equation that becomes a quadratic
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a l
Final Revision: Using change of base to prove a stated relation
Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of u
Worked Example: Writing out the terms of a sequence from its nth term
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on writin
Quiz: Finding the nth term of a linear sequence
Act as my SS1 Further Mathematics tutor and quiz me on finding the nth term of a linear se
Practice: Finding the nth term of a quadratic sequence
Act as my SS1 Further Mathematics tutor. Give me five practice questions on finding the nt
Explain Back: Spotting the pattern in a sequence of squares or cubes
I have just studied spotting the pattern in a sequence of squares or cubes in my SS1 Furth
Spot My Mistake: A sequence defined by a recurrence relation
Act as my SS1 Further Mathematics tutor. Work a question on a sequence defined by a recurr
Show All Working: Deciding whether a given number is a term of a sequence
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on deciding whethe