Answer:
(2x - 9)(x + 6) .
Step-by-step explanation:
2x^2 + 3x - 54
Use the 'ac' method to do this.
First multiply the first number by the last:
2 * -54 = -108.
Now we want 2 numbers whose product is -108 and whose sum is + 3,
- these are +12 and -9, so we write:
2x^2 + 12x - 9x - 54 Now factor by grouping:
= 2x(x + 6) - 9(x + 6) x +6 is common, so:
= (2x - 9)(x + 6) .
