Question

what does ((x + 1.5)(x - 2.5)) equal?
a. (x^2 + 3.75)
b. (x^2 + x - 3.75)
c. (x^2 - x + 3.75)
d. (x^2 - x - 3.75)

Explanation:

Step1: Apply FOIL method

$(x+1.5)(x-2.5) = x\cdot x + x\cdot(-2.5) + 1.5\cdot x + 1.5\cdot(-2.5)$

Step2: Calculate each term

$= x^2 - 2.5x + 1.5x - 3.75$

Step3: Combine like terms

$= x^2 + (-2.5+1.5)x - 3.75 = x^2 - x - 3.75$

Answer:

d. $x^2 - x - 3.75$