Question

How can you write (x-3)(x+4)-18 as a product of two binomials? Please show work please help

Answer 1

Answer:

OPTION C: (x - 5)(x + 6)

Step-by-step explanation:

Given: (x - 3)(x + 4) - 18

Product of (x - 3) and  (x + 4) = x² + 4x - 3x - 12

Therefore, (x - 3)(x + 4) - 18 = x² + x - 30

This is a quadratic equation and the roots are x = 5, -6.

This can be written as binomials as:

  (x - 5)(x + 6) which is the required answer.

So, OPTION C is the answer.