Complex roots of degree polynomial

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Reference no: EM13121270

The 7th degree polynomial x^7 - 3x^6 - 7x^4 + 21x^3 - 8x + 24 has a factor (x - 3)

(a) Divide x^7 - 3x^6 - 7x^4 + 21x^3 - 8x + 24 by x - 3 and thus:

(b) Express it in the form (x - 3)(ax^6 + bx^3 + c)

(d) Express x^7 - 3x^6 - 7x^4 + 21x^3 - 8x + 24 as the product of seven linear factors.

Reference no: EM13121270

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