Which of the following describes the roots of the polynomial function f(x)= (x+2)^2(x+4)(x+1)^3? –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 –2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4 2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3 2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4

The given polynomial equation has  roots

–2 with multiplicity 2,

4 with multiplicity 1,

and –1 with multiplicity 3

Given :

A polynomial function

To find out the roots of polynomial function , we set each factor =0 and solve for x

The polynomial function is already in factored form . so we set the factors =0

The exponent of each factor tell us the multiplicity

The given polynomial equation has roots

–2 with multiplicity 2,

4 with multiplicity 1,

and –1 with multiplicity 3

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Take a close look at  f(x )= (x+2)^2 (x+4) (x+1)^3

and notice that the factor x+2 is squared (the root -1 has multiplicity of 2), the factor x+4 is to the first power (the root -4 has multiplicity 1), and the factor (x+1) is cubed (the root -1 has multiplicity 3).  Thus, the first answer choice is the correct one.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

hope to and hope that my answer is brainliest.(follow me )