Find the zeros of the polynomial function and state the mult

Find the zeros of the polynomial function and state the multiplicity of each. f(x)= - 7(x - 2)^4 (X + 3)^2 X^3 The zero 2 has multiplicity is a zero of multiplicity 2. The remaining zero is. It has multiplicity.

Solution

Dear Student

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From the given polynomial

1) Since (x-2) has a power of 4 therefore zero 2 has multiplicity of 4

2) Sicne (x + 3) has power 2 therefore -3 has multiplicity of 2

3) The remaining zero is at x = 0 with multiplicity 3

Hence Solved