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X2 - 4X - 5 = 0 easy factor, what two factors of - 5 add up to - 4 (X + 1)(X - 5) X = - 1 ------------- X = 5 --------------
3x2 - 4x - 5 does not have rational factors. Its roots are x = [4 +/- sqrt(76)]/6 ie -0.7863 and 2.11963 (approx). So the factors are (x + 0.7863) and (x - 2.11963)
(4x + 5)(x - 3)
To factor 4x^2 - 21x + 5, we look for two binomials in the form (Ax + B)(Cx + D) that multiply to give 4x^2 - 21x + 5. We can determine the values of A, B, C, and D by examining the factors of 4 and 5. The factored form is then (4x - 1)(x - 5).
(2x - 1)(6x + 5)