Question

4.
Factorize 3x2 - X - 4 by factor theorem​

Answer 1

$3x ^{2} - x - 4$

$3x ^{2} - (4 - 3)x - 4$

$3x ^{2} - 4x + 3x - 4$

$x(3x - 4) + 1(3x - 4)$

$(3x - 4)(x + 1)$

Answer 2

Hello Friend

Here is your answer below,,

$3x {}^{2} - x - 4 = 0 \\ = > 3x {}^{2} + 3x - 4x - 4 = 0 \\ = > 3x(x + 1) - 4(x + 1) = 0 \\ = > (3x - 4)(x + 1) = 0 \\ = > 3x - 4 = 0 \\ = > 3x = 4 \\ = > x = \frac{4}{3} \\ \\ or \\ \\ = > x + 1 = 0 \\ = > x = - 1$

I hope that helps you