lambodar

Consider the two univariate polynomials p(x) = x^3 − 12x^2 + 41x − 42; and q(x) = x^2 − 2x − 35

Consider the two univariate polynomials p(x) = x^3 − 12x^2 + 41x − 42; and q(x) = x^2 − 2x − 35
  • If the two polynomials share a common root, use the ratio method to find that root.
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kyran
  • Lets Take q(x) = x^2 -2x -35.
  • To find its root we equate it with zero
  • x^2 - 2x - 35 = 0
  • Factorizing;
  • x^2 - 7x + 5x - 35 = 0
  • x(x - 7) + 5(x - 7) = 0
  • (x-7)(x+5) = 0
  • x = 7 or x = -5
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virtualplayer
p(7) = q(7) = 0; x-7 is the root
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