Question

X^2+4x+4 factored form

Answer 1

The correct answer would be (x+2)(x+2) or (x+2)^2. To solve this (one method), you multiply the value of a and the value of c (this is according to the quadratic equation format: ax^2+bx+c) which would be 4*1 or 4. Then, you have to think of numbers that multiply to a*c or 4, and add up to b (the middle term) or 4. To start, try to think of factors of ac or 4. These include: 4 and 1, 2 and 2. When you multiply 4 and 1 you get 4, however, when you add the two you get 5, which does not match the middle term, 4. However, when you try 2 and 2, not only will it multiply to 4 (the product of a, or 1, and c, or 4) but it also adds up to 4, which is the middle term. This makes your final answer: (x+2)(x+2)