Dividing polynomials in solving word problems.
Pedro bought (18x^3 – 39x^2 + 8x + 16) pesos worth of tokens for your classroom Christmas party. If each token is worth (3x – 4) pesos, how many tokens did Peter buy?
Answers
Answer:
Given : Pedro bought (18x³ – 39x² + 8x + 16) pesos worth of tokens for your classroom Christmas party.
each token is worth (3x – 4) pesos,
To Find : how many tokens did Peter buy
Solution:
each token is worth (3x – 4) pesos,
Peter bought token = y
Total value = (3x – 4)y pesos,
Total value = (18x³ – 39x² + 8x + 16) pesos
Equate
(3x – 4)y = (18x³ – 39x² + 8x + 16) pesos
=> y = (18x³ – 39x² + 8x + 16) ÷ (3x – 4)
6x² - 5x - 4
(3x – 4) (18x³ – 39x² + 8x + 16)
18x³ - 24x²
_________________
-15x² + 8x + 16
-15x² + 20x
_______________
-12x + 16
-12x + 16
__________
0
Peter bought 6x² - 5x - 4 tokens
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