1,161 prompts matching "Checking a completed square by expanding it again"
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Worked Example: Evaluating a polynomial by substitution
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua
Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
You are my personal SS3 Further Mathematics tutor. Teach me solving a linear inequality, a
Worked Example: Solving a quadratic inequality by sketching the parabola
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
You are my personal SS3 Further Mathematics tutor. Teach me the Pythagorean identity, sin
Worked Example: The identities for one plus tan squared and one plus cot squared
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Final Revision: Proving an identity by working on one side only
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
Act as my SS3 Further Mathematics tutor. Work a question on solving an equation by first a
Learn: The parabola y squared equals 4ax, with its focus and directrix
You are my personal SS3 Further Mathematics tutor. Teach me the parabola y squared equals
Final Revision: The focus-directrix definition shared by all the conics
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Final Revision: A ladder leaning against a wall, and the moments acting on it
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming multiplying a ve
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
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
Express x^2 + 10x - 3 in completed-square form
I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for
Express x^2 - 14x + 20 in completed-square form
I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo
Express x^2 + 5x + 1 in completed-square form
I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form
Express 2x^2 - 8x + 3 in completed-square form
I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for
Express x^2 - 9x + 4 in completed-square form
I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form
Structured question: circle with a diameter given by two endpoints
I am in SS 3. Give me a structured coordinate geometry question where two points are the e
Domain of a function involving a square root
I am in SS 3. Teach me finding the domain of a function involving a square root, such as f