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x2+25x+3750=0 |
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Answer» Trying to factor by splitting the middle term Factoring x2+25x+3750 The first term is, x2 its coefficient is 1 . The middle term is, +25x its coefficient is 25 . The last term, "the constant", is +3750 Step-1 : Multiply the coefficient of the first term by the constant 1 • 3750 = 3750 Step-2 : Find two factors of 3750 whose sum equals the coefficient of the middle term, which is 25 . -3750 + -1 = -3751 -1875 + -2 = -1877 -1250 + -3 = -1253 -750 + -5 = -755 -625 + -6 = -631 -375 + -10 = -385 For tidiness, printing of 34 lines which failed to find two such factors, was suppressed Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored |
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