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Logical Polynomials

The document presents algebraic expressions and problems involving finding missing coefficients. It provides three specific equations, each leading to a unique value for the variable m: 6, -24, and -4. The context revolves around simplifying and solving polynomial equations.

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Use logic and save yourself some time. How do I simplify this mess?
Find a Missing Coefficient If (mx2 – 3)(2x2 – 4x + 1) = 12x4 – 24x3 + 12x – 3, what is the value of m? m = 6
Find a Missing Coefficient If (6x2 – 3)(2x2 – 4x + 1) = 12x4 + mx3 + 12x – 3, what is the value of m? m = -24
Find a Missing Coefficient If (6x2 – 3)(2x2 + mx + 1) = 12x4 – 24x3 + 12x – 3, what is the value of m? m = -4

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Logical Polynomials

  • 1.
    Use logic andsave yourself some time. How do I simplify this mess?
  • 2.
    Find a MissingCoefficient If (mx2 – 3)(2x2 – 4x + 1) = 12x4 – 24x3 + 12x – 3, what is the value of m? m = 6
  • 3.
    Find a MissingCoefficient If (6x2 – 3)(2x2 – 4x + 1) = 12x4 + mx3 + 12x – 3, what is the value of m? m = -24
  • 4.
    Find a MissingCoefficient If (6x2 – 3)(2x2 + mx + 1) = 12x4 – 24x3 + 12x – 3, what is the value of m? m = -4