883 prompts matching "Proving that a quadratic expression is positive for every real x"
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Worked example: find the inverse of [[2,1],[5,3]]
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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]]
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Worked example: expand (x+2)^5 fully using the binomial theorem
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Worked example: find the term in x^3 in the expansion of (2x-1)^6
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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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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
Learn: Making the coefficient of x squared equal to one first
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Show All Working: Completing the square with a fractional coefficient of x
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Learn: The sum of the roots as minus b over a
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Show All Working: Roots equal in magnitude but opposite in sign
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Learn: Making one unknown the subject of the linear equation
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Show All Working: The point of contact when a line touches a curve
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Show All Working: Adding and subtracting two polynomials
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Learn: The statement of the remainder theorem
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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
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Show All Working: What the factor theorem says about the roots
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Learn: What makes a sentence a proposition
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