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Find the value of p and …

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Find the value of p and q so that x^4+px^3+2x^2-3x+q is divisible by (x^2-1)

    • Posted by Kripa Gugnani 4 years, 5 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Srushti Khadtare 4 years, 5 months ago

    Value of p=3, value of q =-3 Step-by-Step explanation: Given polynomial, Factors of p(x) are x+1 & x-1 According to factor theorem which states that a linear polynomial of form x-a is factor of polynomial p(x) if p(a) = 0 So, we get p(1)= 0 1^4+p(1)^3+2(1)^2-3(1)+q = 0 1+p+2-3+q=0 P+q=0................(1) P(-1)=0 (-1)^4+p(-1)^3+2(-1)^2-(3-1)+q=0 1-p+2+3+q=0 q-p=-6................(2) Add equation (1)&(2)we get 2q=-6 =>q=-3 Put this in equation (1) p+(-3)=0 =>p=3 Therefore, value of p =3 and q=-3.

    2Thank You

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