Question

While factorizing x² - 5x + 6, the middle term can be split as the sum of ____________.

• A. -2, -3
• B. -2, 3
• C. 2, -3
• D. 2, 3

Answer 1

The correct option is A

-2, -3

x² - 5x + 6 = x² - 3x - 2x + 6

The middle term should be split in such a way that the sum is equal to the middle term and product is equal to the last term.
Here the middle term is -5 and the last term is +6.
Hence it can be split as -3 and -2 ; where we have (-3 - 2 = -5) and (-3) (-2) = 6

Hence -2, -3