Factor in form ax²+bx+c form use the ac method 1. mulitply a and c 2. factor the result such that the 2 factors add to b 3. split b into those 2 factors 4. group the terms 5. undistribute common factors 6. undistribute again
first multiply ac 4 times 5=20 now what 2 numbers multiply to 20 and add to 12 2 and 10 4x²+2x+10x+5 group (4x²+2x)+(10x+5) undistribute 2x(2x+1)+5(2x+1) undistribute the (2x+1) (2x+1)(2x+5) is factored form whih you have there, nice