The area of a rectangular swimming pool is represented by the expression 35n⁴ – 10n³ + 5n². If the width of the pool is 5n, which of the following could represent the length of the pool?
1) 7n³ - 2n² + n
2) 7n³ - 2n² + n + 1
3) 7n³ - 2n² + n - 1
4) 7n³ - 2n² + n + 5

Respuesta :

Xaioo

Answer:

1)7n³ - 2n² + n

Step-by-step explanation:

The area of a rectangle is the product of its length and width. We are given that the width of the pool is 5n, and we are asked which of the following expressions could represent the length of the pool. To find the length, we need to divide the area by the width. The area is 35n⁴ – 10n³ + 5n², and the width is 5n. Dividing these two expressions, we get:

35n⁴ – 10n³ + 5n² / 5n = 7n³ – 2n² + n

Therefore, the length of the pool could be represented by the expression 7n³ – 2n² + n

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