Mathematics

Question

Factor p 2 - 8p - 20.
(p - 4)(p + 5)
(p + 10)(p - 2)
(p - 10)(p + 2)

2 Answer

  • (p - 10)(p+2) is your perfect answer

  • Answer:  the correct option is

    (C) [tex](p-10)(p+2).[/tex]

    Step-by-step explanation:  We are given to factor the following quadratic expression :

    [tex]E=p^2-8p-20~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

    To factor the given expression, we need to find two integers with sum -8 and product -20.

    The factorization of expression (i) is as follows :

    [tex]E\\\\=p^2-8p-20\\\\=p^2-10p+2p-20\\\\=p(p-10)+2(p-10)\\\\=(p-10)(p+2).[/tex]

    Thus, the required factored form is [tex](p-10)(p+2).[/tex]

    Option (C) is CORRECT.

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