Question

Factorize z^2+6z+12​

Answer 1

Answer:

The first term is, z2 its coefficient is 1 .

The middle term is, -6z its coefficient is -6 .

The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -6 .

-12 + 1 = -11

-6 + 2 = -4

-4 + 3 = -1

-3 + 4 = 1

-2 + 6 = 4

-1 + 12 = 11

Observation : No two such factors can be found !!