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Check whether g(x) = x 2 …

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Check whether g(x) = x 2 + 3x + 1 is a factor of the  polynomial p(x)=3x 4 + 5x 3 – 7x 2 + 2x + 2 by dividing p(x)  by g(x).

    • Posted by Prakash Raj 6 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 6 months ago

    g(x) = x2 + 3x + 1, f(x)= 3x4 + 5x3 - 7x2 + 2x + 4


    If we divide f(x) by g(x) then remainder, r(x) = 2
    Hence, r(x) {tex}\ne{/tex} 0.
    If remainder is not 0, then g(x) is not a factor of p(x).

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