1,311 prompts matching "What the factor theorem says about the roots"
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Structured question: quadratic with roots that differ by a given amount
I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe
Structured question: two quadratics sharing a common root
I am in SS 3. Give me a structured question where two quadratic equations are given and I
Structured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
Non-calculator paper: exact value question on sum and product of roots
I am in SS 3. Give me a non-calculator sum and product of roots question where the final a
Quiz me on choosing the correct method for a quadratic
I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor
Learn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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Explain Back: Keeping track of the nine entries when multiplying 3 by 3 matrices
I have just studied keeping track of the nine entries when multiplying 3 by 3 matrices in
Worked Example: Taking a common factor out of a matrix
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on taking
Learn: The distributive law for a scalar over a sum of matrices
You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca
Explain Back: Why the order of the letters matters in a matrix product
I have just studied why the order of the letters matters in a matrix product in my SS3 Fur
Explain Back: The rule that the transpose of a product reverses the order
I have just studied the rule that the transpose of a product reverses the order in my SS3
Explain Back: The order of the answer when two matrices are multiplied
I have just studied the order of the answer when two matrices are multiplied in my SS3 Fur
Learn: Deciding whether a stated matrix calculation is possible at all
You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr
Worked Example: What a determinant of nought means for a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on what a
Learn: The effect on a determinant of swapping two rows
You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of
Explain Back: The determinant of a product as the product of the determinants
I have just studied the determinant of a product as the product of the determinants in my
Explain Back: Finding the adjoint of a 2 by 2 matrix quickly
I have just studied finding the adjoint of a 2 by 2 matrix quickly in my SS3 Further Mathe
Learn: Swapping and negating the entries when inverting a 2 by 2 matrix
You are my personal SS3 Further Mathematics tutor. Teach me swapping and negating the entr
Learn: The order of the steps in inverting a 3 by 3 matrix
You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve
Explain Back: The inverse of a diagonal matrix
I have just studied the inverse of a diagonal matrix in my SS3 Further Mathematics class.