5. Factor the expression. 6x2 + 5x + 1

a) (3x + 1) (2x - 1)

b) (3x - 1) (2x - 1)

c) (3x - 1) (2x + 1)

d) (3x + 1) (2x + 1)

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.