The area of a rectangle is 15x² - 29x - 14 and the width is 5x + 2. What is the length?

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asked Nov 8, 2023 68.6k views

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The area of a rectangle is 15x² - 29x - 14 and the width is 5x + 2. What is the length?

Mathematics
high-school

Zal asked

by Zal

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Answer: the length is 3x-7

Explanation:

$15x^2-29x-14=\\\\15x^2+6x-6x-29x-14=\\\\(15x^2+6x)-6x-29x-14=\\\\3x(5x+2)-35x-14=\\\\3x(5x+2)-7(5x+4)=\\\\(5x+2)(3x-7)\\\\Hence,\\\\The\ length\ is\ 3x-7$

Nicolai Schmid answered Nov 14, 2023

by Nicolai Schmid

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