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If I spent (x³ + 5x² – 2x – 24) pesos for (x² + x – 6) pencils, how much does each pencil cost?

Sagot :

Answer:

Explination at the top

(x+y) pesos

Correct me if I'm wrong

View image Ackerman1levi200

[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