Question

In the equation, p and t are constants. What is the value of p? 4x2 − 9 = (px + t)(px − t) A) 2 B) 3 C) 4 D) 9

Answer 1

Answer:

A) 2

Step-by-step explanation:

4x² - 9 = (px + t)(px - t)

Using formula a² - b² = (a-b)(a+b)

4x² - 9 = (2x)² - 3² = (2x - 3)(2x+3),

so

(px + t)(px - t) = (2x - 3)(2x + 3).

We can see that p = 2, and t = 3.