[tex] \rm{PROBLEM:} [/tex]
If I spent (x³ + 5x² – 2x – 24) pesos for (x² + x – 6) pencils, how much does each pencil cost?
[tex] \rm{SOLUTION:} [/tex]
- You spent [tex] (x³ + 5x² – 2x – 24) [/tex]
- and the pencil is ₱ [tex](x² + x – 6)[/tex]
»So Lets Use the symbol of each term in parentheses when there is a (-) symbol in front parentheses.
p
[tex] {x}^{3} + 5 {x}^{2} - 2x - 24 - {x}^{2} - x + 6[/tex]
[tex] {x}^{3} + (5 - 1) {x}^{2} + ( - 2 - 1)x + ( - 24 + 6)[/tex]
[tex] {x}^{3} + 4 {x}^{2} + ( - 2 - 1)x + ( - 24 + 6)[/tex]
- So The each pencil cost [tex] {x}^{3} + 4 {x}^{2} - 3x + \purple{ ( - 24 + 6)}[/tex] or (x - 2),(x + 3)²
