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16 June, 22:16

Choose the constant term that completes the perfect square trinomial.

y 2 + 5y

+10/4

+25/4

+25/2

+2
Answers (1)
  1. 16 June, 22:23
    0
    A perfect trinomial, if we begin by a binomial is defined as: the square of the first term, plus (or minus) the double product of the first term times the second, plus the square of the second term:

    (a + b) ^2 = a^2 + 2ab + b^2

    We are given:

    y^2 + 5y + x

    we need to find x, so x is defined as a squared quantity, which is equal to the second term coefficient (5) divided by 2, and that number squared, that is:

    (5/2) ^2 = 25/4

    that is the third term for the trinomial to be perfect.
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