The factored form of the equation x² + 6x + 8 is (x + 4) (x + 2), that is, option B.
Here, we are given a quadratic equation x² + 6x + 8
We can factorize this equation using the splitting the middle term method.
Here the coefficient of x is 6, hence, we need to spilt 6 in such a manner that the product of the split terms is 8.
6 can be written as 4 + 2 and we can see that 4 × 2 = 8
Hence, we can write the given equation as-
x² + 4x + 2x + 8
= x (x + 4) + 2 (x + 4)
= (x + 4) (x + 2)
Hence, the factored form of the equation x² + 6x + 8 comes out to be (x + 4) (x + 2), that is, option B.
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