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Factorise : a²+5a-104

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Factorise : a²+5a-104

    • Posted by Tanupreet Kaur 5 years, 1 month ago

    CBSE > Class 08 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 1 month ago

    In the given polynomial a2+5a−104,

    The first term is a2 and its coefficient is 1.

    The middle term is 5a and its coefficient is 5.

    The last term is a constant term −104.

    Multiply the coefficient of the first term by the constant 1×−104=−104.

    We now find the factor of −104 whose sum equals the coefficient of the middle term, which is 5 and then factorize the polynomial a2+5a−104 as shown below:

    a2+5a−104=a2+13a−8a−104=a(a+13)−8(a+13)=(a−8)(a+13)

    Hence, a2+5a−104=(a−8)(a+13).

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