If \((x + 2)\) and \((3x - 1)\) are factors of \(6x^{3} + x^{2} - 19x + 6\), find the third factor.

Similar Questions

The roots of the equation \(2x^{2} + kx + 5 = 0\) are \(\alpha\) and \(\beta\), where k is a constan...

How many ways can 12 people be divided into three groups of 2, 7 and 3 in that order? ...

If \(\frac{1}{5^{-y}} = 25(5^{4-2y})\), find the value of y....

Find the equation of the line passing through (0, -1) and parallel to the y- axis. ...

Find the constant term in the binomial expansion of \((2x - \frac{3}{x})^{8}\)....

Two functions f and g are defined by \(f : x \to 3x - 1\) and \(g : x \to 2x^{3}\), evaluate \(fg(-2...

Find the coefficient of \(x^{4}\) in the binomial expansion of \((1 - 2x)^{6}\)....

If the midpoint of the line joining (1 - k, -4) and (2, k + 1) is (-k, k), find the value of k. ...

The roots of the quadratic equation \(2x^{2} - 5x + m = 0\) are \(\alpha\) and \(\beta\), where m is...

g(x) = 2x + 3 and f(x) = 3x\(^2\) - 2x + 4 find f {g (-3)}....