Question

Mark (✓) against the correct answer:
7x² − 19x − 6 = ?
(a) (x − 3)(7x + 2)
(b) (x + 3)(7x − 2)
(c) (x − 3)(7x − 2)
(d) (7x − 3)(x + 2)

Answer 1

(a) $\left(x-3\right)\left(7x+2\right)$

$$\begin{gathered} 7x^2-19x-6 \\ =7x^2-21x+2x-6 \\ =7x\left(x-3\right)+2\left(x-3\right) \\ =\left(x-3\right)\left(7x+2\right) \end{gathered}$$