Can someone explain multiplicity of a zero?

Multiplicity refers to the exponents of the factors.  For example:

x³(x + 1)(x + 2)²(x² + 1) = 0

x:        has a multiplicity of 3 because its exponent is 3

x + 1:    has a multiplicity of 1 because its exponent is 1:  (x + 1)¹

x + 2:    has a multiplicity of 2 because its exponent is 2

x² + 1:    has a multiplicity of 1 because its exponent is 1: (x² + 1)¹

Hope this helped!

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

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step-by-step explanation: