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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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883 prompts matching "Proving that a quadratic expression is positive for every real x"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Worked example: find the inverse of [[2,1],[5,3]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: expand (x+2)^5 fully using the binomial theorem

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Learn: Making the coefficient of x squared equal to one first

You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq

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Show All Working: Completing the square with a fractional coefficient of x

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on completing the

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Learn: The sum of the roots as minus b over a

You are my personal SS2 Further Mathematics tutor. Teach me the sum of the roots as minus

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Show All Working: Roots equal in magnitude but opposite in sign

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in

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Learn: Making one unknown the subject of the linear equation

You are my personal SS2 Further Mathematics tutor. Teach me making one unknown the subject

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Show All Working: The point of contact when a line touches a curve

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the point of co

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Show All Working: Adding and subtracting two polynomials

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Learn: The statement of the remainder theorem

You are my personal SS2 Further Mathematics tutor. Teach me the statement of the remainder

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Show All Working: A remainder of nought, and what it means

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Learn: The statement of the factor theorem

You are my personal SS2 Further Mathematics tutor. Teach me the statement of the factor th

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Show All Working: What the factor theorem says about the roots

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on what the factor

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Learn: What makes a sentence a proposition

You are my personal SS2 Further Mathematics tutor. Teach me what makes a sentence a propos

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