Answer:
p = [tex]\frac{3}{2}[/tex] , 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([tex]\frac{3}{2}[/tex] )x + [tex]\frac{9}{4}[/tex] - [tex]\frac{9}{4}[/tex] )
= 4(x + [tex]\frac{3}{2}[/tex] )² - 4 × [tex]\frac{9}{4}[/tex]
= 4(x + [tex]\frac{3}{2}[/tex] )² - 9
