861 prompts matching "Explain why a complex number times its conjugate is real"
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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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