Answer: [tex]w^{2} + 13w + 36 = (w + 4)(w + 9)[/tex]
Step-by-step explanation:
[tex]w^{2} + 13w + 36 = (w + 4)(w + ?)[/tex]
w (w + ?) +4 (w + ?)
w² + ?w + 4w + ?
4w + ?w = 13w
Subtract both sides by 4w
?w = 9w
? = 9
4 (?) = 36
Divide both sides by 4
? = 9
[tex]w^{2} + 13w + 36 = (w + 4)(w + 9)[/tex]
Hope I helped!
