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1 year ago

Simplify the following polynomial expression.

Mathematics

1 answer:

DENIUS [597]1 year ago

4 0

The simplified form of the polynomial expression is 5x⁴ - 37x³ - 6x² + 41x - 6

<h3>How to simplify polynomial?</h3>

The polynomial can be simplified as follows:

Therefore,

(5x⁴ - 9x³ + 7x - 1) + (- 8x⁴ + 4x² - 3x + 2) - (-4x³ + 5x - 1) (2x - 7)

Therefore, we have multiply first

(-4x³ + 5x - 1) (2x - 7) = -4 (2x - 7)x³ + 5x(2x - 7) - 1(2x - 7)

Hence,

(-4x³ + 5x - 1) (2x - 7) = - 8x⁴ + 28x³ + 10x² - 37x + 7

Therefore,

5x⁴ - 9x³ + 7x - 1 - 8x⁴ + 4x² - 3x + 2 + 8x⁴ - 28x³ - 10x² + 37x - 7

Combine like terms

Therefore,

5x⁴ - 8x⁴ + 8x⁴ - 9x³ - 28x³ + 4x² - 10x² + 7x - 3x + 37x - 1 + 2 - 7

5x⁴ - 37x³ - 6x² + 41x - 6

learn more on polynomial here:brainly.com/question/26489570

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Here, we need to know the idea of how to find the area of a rectangle.

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l = length

w = width

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<u>Given information</u>

A = 24396 cm²

w = 38 cm

<u>Given expression</u>

A = l × w

<u>Substitute values into the expression</u>

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<u>Divide both sides by 38</u>

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$\boxed{l=642}$

Hope this helps!! :)

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