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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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861 prompts matching "Explain why a complex number times its conjugate is real"

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

Quiz: Finding the sum and the product without solving the equation

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

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Learn: What makes an expression in the roots symmetric

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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Quiz: The value of one over alpha squared plus one over beta squared

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Show All Working: Forming an equation whose roots are three alpha and three beta

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Learn: Making one unknown the subject of the linear equation

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Worked Example: Substituting into the quadratic and tidying up

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Quiz: Solving the quadratic that results from the substitution

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Learn: Forming the quadratic that decides where a line meets a curve

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Quiz: The condition for two points of intersection

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

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Learn: What makes an expression a polynomial

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Worked Example: The degree of a polynomial in one variable

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Quiz: The leading term and the constant term

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Show All Working: Adding and subtracting two polynomials

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Quiz: Dividing a quartic by a quadratic

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Learn: The statement of the remainder theorem

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Worked Example: The remainder on dividing by x minus 3

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Quiz: The remainder on dividing by x plus 2

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