niselane niselane
  • 12-02-2018
  • Mathematics
contestada

If x2 + mx + m is a perfect-square trinomial, which equation must be true?

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juliustyler4oyto58 juliustyler4oyto58
  • 12-02-2018
x² + mx + m A perfect square trinomial is where:x² - is the square of the first term binomialmx - is twice the product of the binomials first and last termm - is the square of the last term binomial
x² + mx + m = (x + 1)²
(x + 1)² ⇒ (x+1)(x+1) = x(x+1) +1(x+1) ⇒ x² + x + x +1 = x² + 2x + 1
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bbjbrooke1 bbjbrooke1
  • 13-02-2018
x^2+mx+m= (x+1)^2 is your answer
Answer Link

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