Question

How do I solve this question?

Answer 1

Answer:

p = $\frac{3}{2}$ , q = 9

Step-by-step explanation:

4x² + 12x ( factor out 4 from each term )

= 4(x² + 3x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 3x

= 4(x² + 2($\frac{3}{2}$ )x + $\frac{9}{4}$ - $\frac{9}{4}$ )

= 4(x + $\frac{3}{2}$ )² - 4 × $\frac{9}{4}$

= 4(x + $\frac{3}{2}$ )² - 9