878 prompts matching "Checking a root of a cubic by substitution"
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Practice: Rationalising a denominator of the form root a
Act as my SS3 Further Mathematics tutor. Give me five practice questions on rationalising
Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
I have just studied rationalising a denominator of the form a plus root b using the conjug
Learn: The sum and the product of the roots read from the coefficients
You are my personal SS3 Further Mathematics tutor. Teach me the sum and the product of the
Explain Back: The range of values of k for which the roots are real
I have just studied the range of values of k for which the roots are real in my SS3 Furthe
Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
Act as my SS3 Further Mathematics tutor. Work a question on forming a new equation whose r
Worked Example: Evaluating a polynomial by substitution
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua
Explain Back: Forming a cubic equation whose three roots are given
I have just studied forming a cubic equation whose three roots are given in my SS3 Further
Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors
Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product
Find the remainder command word: cubic divided by a linear factor
I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by
Spot my mistake: checking each line of a trigonometric identity proof
I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f
Teach me integration by recognising the reverse of differentiation
I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin
Show All Working: Expressing a number in the form a root b
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on expressing
Show All Working: Solving a logarithmic equation and rejecting the invalid root
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a
Show All Working: Finding a coefficient given a stated relation between the roots
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on finding a
Show All Working: The half angle formulae and the t-substitution
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on the half a
Solving an equation formed by equating two algebraic fractions
I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s
Range of a simple function from its graph or values
I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si
Finding the inverse of a simple linear function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find
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