1] The HCF of polynomials x⁴+6x²+25 ; x³-3x²+7x-5 ; and x²+6-99
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1] The HCF of polynomials x⁴+6x²+25 ; x³-3x²+7x-5 ; and x²+6-99
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Answer:
x^4 -3x+2 = (x-1)(x^3+x^2+x-2)
x^3–3x^2+3x-1 = (x-1)^3
x^4–1 = (x^2+1)(x-1)(x+1)
Therefore, HCF = x - 1