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Polynomials Test - 5

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Polynomials Test - 5
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  • Question 1
    1 / -0

    The value of  2492 − 2482 is

    Solution

    (249)2 − (248)2

    = (249 + 248) (249 - 248)                   [Using identity a2 − b2 = (a + b) (a − b)]

    = 497 x 1

    = 497

  • Question 2
    1 / -0

    If  a + b + c = 0, then  a3 + b3+ c3  is equal to

    Solution

    If a + b + c = 0, then

    a3 + b3 + c3 − 3abc = 0

    =>        a3 + b3 + c3 = 3abc

  • Question 3
    1 / -0

    (x + 1) is a factor of the polynomial

    Solution

    x3 + x2 + x + 1

    = x3 ( x + 1) + 1 (x + 1)

    = (x3 + 1)  ( x + 1)

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