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Factors are (x + 1)(x + 3) so x = -1 or -3.

* * *

The factors given above are correct.

But the solution offered above is correct, only if

x2 + 4x + 3 = 0.

If the given quadratic function is equated to anything other than zero, then the solution will also be something else.

Example:

x2 + 4x + 3 = 15 gives

x2 + 4x - 12 = 0, whence,

(x - 2 )(x + 6) = 0; and

it is evident that x = 2 or -6 is the desired solution.

In other words, if you substitute either 2 or -6 for x in the equation

x2 + 4x + 3 = 15,

then, that equation becomes a true statement. Test it, and see!

On the other hand, x = -1 or -3 makes the equation

x2 + 4x + 3 = 0

a true statement.

The moral to remember is that expressions, such as the asker gave above, have factors; but only equations have solutions.

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14y ago
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Q: What is x2 plus 4x plus 3?
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