The volume of water in a rectangular swimming pool can be modeled by the polynomial 2x^3-9x^2+7x+6. If the depth of the pool is given by the polynomial 2x + 1, what polynomials express the length and width of the pool?

Question

Adelyn Haas

Mathematics

14 September, 10:52

The volume of water in a rectangular swimming pool can be modeled by the polynomial 2x^3-9x^2+7x+6. If the depth of the pool is given by the polynomial 2x + 1, what polynomials express the length and width of the pool?

+3

Answers (1)

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Markus Bell · Answer 1

(2x^3 - 9x^2 + 7x + 6) : (2x + 1) = x^2 - 5x + 6 = (x - 2) (x - 3)

Therefore, the polynomials x - 2 and x - 3 expree the length and width of the pool.