Find the GCD of the following
2x2 – x – 1,4x2 + 8x + 3
Given,
2x2 – x – 1 = 2x2 – 2x + x – 1 = 2x(x – 1) + 1(x – 1)
= (2x + 1)(x – 1)
4x2 + 8x + 3 = 4x2 + 2x + 6x + 3 = 2x(x + 1) + 3(2x + 1)
= (2x + 1)(2x + 3)
Greatest common divisor = (2x + 1)
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