1,333 prompts matching "Teach me collecting like terms across two polynomials"
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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: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Structured question: composite function domain restriction
I am in SS 3. Give me a structured question where the composite function fg(x) is undefine
Structured question: surd equation with a solution to reject
I am in SS 3. Give me a structured surd equation question where squaring both sides introd
Structured question: logarithmic equation reducing to a quadratic
I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x
Structured question: circle and line with an unknown intercept
I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno
Structured question: trig equation with a coefficient inside the angle
I am in SS 3. Give me a structured trigonometric equation question where the angle inside
Structured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
Structured question: quadratic word problem about a thrown ball
I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro
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
Structured question: simplifying a surd raised to a fractional index
I am in SS 3. Give me a structured question simplifying an expression that combines a surd
Structured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
Structured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Structured question: sum of a series expressed using sigma notation
I am in SS 3. Give me a structured question where a sum is written using sigma notation fo
Structured question: binomial expansion used for a probability estimate
I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a
Structured question: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
Structured question: quadratic formula question with a negative discriminant
I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati
Explain back: quadratic inequality solution notation
I am in SS 3. Let me explain in my own words how to correctly write the solution set of a
Explain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
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