Question discussion

One factor of 5 + 8x - 4x2 is (2x + 1) then another factor is

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Given equation,

⇒ 5 + 8x - 4x2 = 0

⇒ 4x2 - 8x - 5 = 0

⇒ 4x2 - 10x + 2x - 5 = 0

⇒ 2x(2x - 5) + 1(2x - 5) = 0

⇒ (2x + 1)(2x - 5) = 0

∴ Other factor is (2x - 5) = (5 - 2x)