Find two different polynomial functions that have a zero at 2 of multiplicity 5 and a zero at - 4 of multiplicity 3?

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Mathematics

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10 February, 16:23

Find two different polynomial functions that have a zero at 2 of multiplicity 5 and a zero at - 4 of multiplicity 3?

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Cordell · Answer 1

Required polynomial is (x - 2) ^5 (x + 4) ^3 = (x^5 - 10x^4 + 40x^3 - 80x^2 + 80x - 32) (x^3 + 12x^2 + 48x + 64) = x^8 + 2x^7 - 32x^6 - 16x^5 + 400x^4 - 352x^3 - 1664x^2 + 3584x - 2048