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Polynomials Test - 4

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    If ab = q and a + b = p, then what are the factors of the algebraic expression x2 + px + q?

    Solution

    Expression: x2 + px + q
    Given: p = (a + b) and q = ab,

    So, x2 + (a + b)x + ab = x2 + ax + bx + ab
    = x(x + a) + b(x + a)
    = (x + a)(x + b)

     

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