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(x+?)(x+3)=x squared+5x+6

1 Answer

5 votes

The given expression is :

(x + ) (x + 3) = x² + 5x + 6

The polynomial is factorize and then written in the form of (x + ) (x + 3)

Let the missing number is "b" substitute in the equation and simplify :

(x + b ) (x + 3) = x² + 5x + 6

x² +bx + 3x + 3b = x² + 5x + 6

x² +x(b +3) + 3b = x² + 5x + 6

Comparing the constant term together :

3b = 6

Divide both side by 3

3b/3 = 6/3

b = 2

Since b is the missing term so, Missing term is 2

(x + 2 ) (x + 3) = x² + 5x + 6

Answer :(x + 2 ) (x + 3) = x² + 5x + 6

User Andreas Rejbrand
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