Express as a ratio in the lowest term 1. 360 metres to 3 kilometres
2. 2 minutes to 14 seconds

1. 3:25

2. 60:7

Step-by-step explanation:

To express the ratio in the lowest terms:

1. 360 metres to 3 kilometres

First of all, we need to convert both the terms in same unit.

Let us convert kilometres to metres for simplicity.

We know that 1 km = 1000 m

So, 3 km = 3000 m

Hence, the ratio can be represented as:

So, the simplest ratio is 3:25.

2. 2 minutes to 14 seconds

Converting minutes to seconds.

1 minute = 60 seconds

2 minutes = 120 seconds

So, the ratio can be written as:

120 seconds : 14 seconds

Dividing by 2:

60:7

So, the simplest form is 60:7.

The answers are:

1. 3:25

2. 60:7

The final factored form of this is 3x(x + 8) = 0

In order to find this, we need to find the greatest common denominator of the coefficients. To do that, we can list the factors of each number.

Factors of 3: 1, 3

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The greatest factor that they share is 3. Therefore we can factor out a 3.

3(x^2 + 8x) = 0

Now we look for how many x's we can take out. Since each have at least one x, we take out 1 x.

3x(x + 8) = 0