Question 760604
First find the factors of 1 from the {{{X^2}}}
The factors of 1 are: 1,1
Next Find the factors of 3 (the constant)
The factors of 3 are: 1,3
Note that the 3 is positive that means that the factors have to both be positive or both negative.
Now use the factors of 1 and the factors of 3 to come up with the 4X
1*3 + 1*1 = 4
So {{{X^2 + 4X + 3}}} can be rewritten as {{{(X + 3)*(X + 1)}}}
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Now we have to solve for each part of the equation.
The equation equals zero when either of the parentheses equal zero.
{{{X + 3 = 0}}}
Subtract 3 from both sides
{{{highlight(X = -3)}}}
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{{{X + 1 = 0}}}
Subtract 1 from both sides
{{{highlight_green(X = -1)}}}