Question

What is the factored form of 2x2 + x – 3? (1 point)
(2x + 3)(x – 1)
(2x + 1)(x – 3)
(2x – 3)(x + 1)
(2x – 1)(x + 3)

Answer 1

(2x + 3)(x – 1)

Answer 2

We have
\[2x^2+x-3\]
\[2\times -3=-6\]
Let's find factors of -6 which add up to 1
3 and -2
so
\[2x^2-2x+3x-3\]
\[2x(x-1)+3(x-1)\]
Let's take out (x-1), we get

\[ (x-1)(2x+3)\]

Answer 3

ash2326 is using factoring by grouping