Question

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l² -3l -10=0 factorization
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Answer 1

Answer:

i =-2 , 5

Step-by-step explanation:

i^2 -3i -10 = 0

i^2 - 5i + 2i - 10 = 0

i( i 5) + 2(i - 5) = 0

(i + 2) ( i - 5) = 0

i = -2 , 5

Answer 2

List all prime factors for each number.

Prime Factorization of 21 is:

3 x 7 => 31 x 71

Prime Factorization of 45 is:

3 x 3 x 5 => 32 x 51

Prime Factorization of 63 is:

3 x 3 x 7 => 32 x 71

Prime Factorization of 81 is:

3 x 3 x 3 x 3 => 34

Prime Factorization of 210 is:

2 x 3 x 5 x 7 => 21 x 31 x 51 x 71

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 3, 3, 3, 3, 5, 7

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 3 x 3 x 3 x 5 x 7 = 5670

In exponential form:

LCM = 21 x 34 x 51 x 71 = 5670

LCM = 5670

Therefore,

LCM(21, 45, 63, 81, 210) = 5670