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P(x)is a polynomial of 4th degree,remainder of p(x)is 40 when divided by (x-3) or by (x+3).Find p(x)if (x-1),(x-2),(x-3) are factors of p(x)?

Science & Mathematics by Anonymous 2018-05-18 16:09:05

Social Science

P(x)is a polynomial of 4th degree,remainder of p(x)is 40 when divided by (x-3) or by (x+3).Find p(x)if (x-1),(x-2),(x-3) are factors of p(x)?

1 answer

  • Anonymous

    p(x) = (x-a)(x^3 - x^2 - 4x + 4) p(x) = -ax^3 + ax^2 + 4ax - 4a + x^4 - x^3 - 4x^2 + 4x p(3) = 40 = -27a+9a+12a-4a+81-27-36+12 40 = 30 - 10a a = -1 p(x) = x^3-x^2-4x+4+x^4-x^3-4x^2+4x p(x) = -x^2+4+x^4-4x^2 p(x) = x^4-5x^2+4

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