Dylan uses the expressions open paren x squared minus 2 x plus 8 close paren and open paren 2 x squared plus 5 x minus 7 close paren to represent the length and width of his bedroom. Which expression represents the area l w of Dylan’s room?

To find the area, multiply the length and width: (x² − 2x + 8)(2x² + 5x − 7). Distribute each term and combine like terms: 2x⁴ + 5x³ − 7x² − 4x³ − 10x² + 14x + 16x² + 40x − 56 = 2x⁴ + x³ − x² + 54x − 56. This matches choice A, 2x⁴ + x³ − x² + 54x − 56.

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