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Math Help - Dividing a Polynomial

  1. #1
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    Dividing a Polynomial

    Q. The number 6x^2 + 6x(x is a natural number) is always divisible by
    a. 6
    b. 18
    c 12
    d 6 and 12 both

    I tried to solve it using a rule :- (a^n + b^n) is always divisible by (a+b), (a-b) if n is even. In this case n is even and odd respectively. What approach should i adopt ?
    Last edited by vivek_master146; January 29th 2011 at 01:22 AM. Reason: Typing mistake
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  2. #2
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    Quote Originally Posted by vivek_master146 View Post
    Q. The number 6x^2 + 6x(x is a natural number) is always divisible by
    a. 6
    b. 18
    c 12
    d 6 and 12 both

    I tried to solve it using a rule :- (a^n + b^n) is always divisible by (a+b), (a-b) if n is even. In this case n is even and odd respectively. What approach should i adopt ?

    6x^2+6x=6(x)(x+1)

    x and (x+1) are a pair of consecutive even and odd numbers so the product is even.
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