6(3x² + 19x - 14)
Step-by-step 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)