Respuesta :

6(3x² + 19x - 14)

Explanation:

The given expression: 18x² + 114x - 84

we need to find a factor that is common to all the numbers in the expression.

One of the factor is 2

We divide all the expression by 2:

= 18x²/2 + 114x/2 - 84/2

= 9x² + 57x - 42

We check again for another number that can divide all coefficient without a remainder

Another factor is 3

We divide all the expression above by 3:

= 9x²/3 + 57x/3 - 42/3

= 3x² + 19x - 14

We check agian for any other factor. There is no other factor except 1. 19 cannot be divied any further.

From the above, we say the factors of the given expression = 2×3 = 6

18x² + 114x - 84 = 6(3x² + 19x - 14)

The factorisation = 6(3x² + 19x - 14)