3.1 (2) Please help me answer that. Determines the equation, in factorised form, of the function of the fourth degree whose zeros are -1, 2 and 3, knowing that 3 is a double root and that the ordain origin is 18. Show all the steps of your reasoning.

Advanced Engineering Mathematics
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ISBN:9780470458365
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3.1 (2) Please help me answer that. Determines the equation, in factorised form, of the function of the fourth degree whose zeros are -1, 2 and 3, knowing that 3 is a double root and that the ordain origin is 18. Show all the steps of your reasoning.
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Step 1

A polynomial in a factorized form is f(x)=(x-a)(x-b)......(x-n).

If (x-a) is a factor of the polynomial then a is the zero of the polynomial.

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