Pls !
determine the multiplicity of the roots of the function k(x) = x(x + 2)3(x + 4)2(x − 5)4.

The answer is given below.

Step-by-step explanation: We are given to find the multiplicity of the roots of the following equation:

We can clearly say that the roots of the above equation are 0, -2, -4 and 5.

The power of (x-0) is 1, so the multiplicity of 0 is 1.

The power of (x+2) is 3, so the multiplicity of -2 is 3.

The power of (x+4) is 2, so the multiplicity of -4 is 2.

The power of (x-5) is 4, so the multiplicity of 5 is 4.

Hence completed.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!