The area of a rectangle is (x3 - 5x2 + 3x - 15), and the width of the rectangle is (x2 + 3). If area = length times width, what is the length of the rectangle?

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Mathematics

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8 June, 10:19

The area of a rectangle is (x3 - 5x2 + 3x - 15), and the width of the rectangle is (x2 + 3). If area = length times width, what is the length of the rectangle?

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Answers (2)

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Demarcus Chang · Answer 1

The answer to your question is: x⁵ - 5x⁴ + 6x³ - 15x² + 9x - 45

Step-by-step explanation:

Area = lenght times width

(x³ - 5x² + 3x - 15) x (x² + 3) =

= x⁵ - 5x⁴ + 3x³ - 15x² + 3x³ - 15x² + 9x - 45 Simplify like terms

= x⁵ - 5x⁴ + 6x³ - 15x² + 9x - 45