Answer:
The factored version of the equation 6x^2 + 5x + 1 is equal to (3x+1)(2x+1).
Step-by-step explanation:
Here is the reason why that equation is correct:
Use the FOIL method for each factored equation to see if it equals 6x^2 + 5x + 1.
(3x + 1)(2x - 1)
3x * 2x = 6x^2.
3x * -1 = -3x.
1 * 2x = 2x.
1 * -1 = -1.
6x^2 - x - 1.
(3x - 1)(2x - 1)
3x * 2x = 6x^2.
3x * -1 = -3x.
-1 * 2x = -2x.
-1 * -1 = 1.
6x^2 - 5x + 1.
(3x - 1)(2x + 1)
3x * 2x = 6x^2.
3x * 1 = 3x.
-1 * 2x = -2x.
-1 * 1 = -1.
6x^2 + x - 1.
(3x + 1)(2x + 1)
3x * 2x = 6x^2.
3x * 1 = 3x.
1 * 2x = 2x.
1 * 1 = 1.
6x^2 + 5x + 1.
D contains the only factored expression that equals 6x^2 + 5x + 1 as a result using the FOIL method.
