Find the value of ‘a’ and ‘b’ , if x²-1 is a factor of ax³+x² -2x+b​

Find the value of ‘a’ and ‘b’ , if x²-1 is a factor of ax³+x² -2x+b​

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Aaliyah

2 thoughts on “Find the value of ‘a’ and ‘b’ , if x²-1 is a factor of ax³+x² -2x+b​”

  1. Step-by-step explanation:

    x^2 -1 =0

    => x^2 = 1

    => x = 1

    also x^3 =1 (1×1×1 = 1)

    substituting this value in the polynomial we get:

    a×(1)^3 +(1)^2 -2×1 + b =0

    = a + 1 – 2 +b =0

    => a + -1 +b = 0

    => a + b = 1 ( transposing 1 to RHS)

    Had the second equation being given, we would have got the values of a & b

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