Answer:
Greatest common factor = [2x - 5][x + 2]
Explanation:
Given equation:
2x² - x - 10
Find:
Greatest common factor
Computation;
⇔ 2x² - x - 10
By splitting mid term
⇔ 2x² - [5 - 4]x - 10
Multiply by 'x'
⇔ 2x² - 5x + 4x - 10
taking x and 2 as common
⇔ x[2x - 5] + 2[2x - 5]
taking [2x - 5] as common
⇔ [2x - 5][x + 2]
Greatest common factor = [2x - 5][x + 2]