2×2+14x+12

Factor 2 out of 2×2.

2(x2)+14x+12

Factor 2 out of 14x.

2(x2)+2(7x)+12

Factor 2 out of 12.

2×2+2(7x)+2⋅6

Factor 2 out of 2×2+2(7x).

2(x2+7x)+2⋅6

Factor 2 out of 2(x2+7x)+2⋅6.

2(x2+7x+6)

2(x2+7x+6)

Factor x2+7x+6 using the AC method.

Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 6 and whose sum is 7.

1,6

Write the factored form using these integers.

2((x+1)(x+6))

2((x+1)(x+6))

Remove unnecessary parentheses.

2(x+1)(x+6)

2(x+1)(x+6)

Factor 2x^2+14x+12