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11 September, 19:03

When the factors of a trinomial are (x+p) and (x-q) then the coefficient of the x-term in the trinomial is:

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  1. 11 September, 19:09
    0
    p - q

    Step-by-step explanation:

    Given the factors

    (x + p) (x - q) ← expanding the factors

    = x² - qx + px - pq ← collect like terms

    = x² + px - qx - pq ← factor out x in each of the x - terms

    = x² + (p - q) x - pq

    The coefficient of the x - term is p - q
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