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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