Question
Factor the expression
Factor
(x+2)(x+9)
Evaluate
x2+11x+18
Rewrite the expression
x2+(9+2)x+18
Calculate
x2+9x+2x+18
Rewrite the expression
x×x+x×9+2x+2×9
Factor out x from the expression
x(x+9)+2x+2×9
Factor out 2 from the expression
x(x+9)+2(x+9)
Solution
(x+2)(x+9)
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Find the roots
Find the roots of the algebra expression
x1=−9,x2=−2
Evaluate
x2+11x+18
To find the roots of the expression,set the expression equal to 0
x2+11x+18=0
Factor the expression
More Steps
Evaluate
x2+11x+18
Rewrite the expression
x2+(9+2)x+18
Calculate
x2+9x+2x+18
Rewrite the expression
x×x+x×9+2x+2×9
Factor out x from the expression
x(x+9)+2x+2×9
Factor out 2 from the expression
x(x+9)+2(x+9)
Factor out x+9 from the expression
(x+2)(x+9)
(x+2)(x+9)=0
When the product of factors equals 0,at least one factor is 0
x+2=0x+9=0
Solve the equation for x
More Steps
Evaluate
x+2=0
Move the constant to the right-hand side and change its sign
x=0−2
Removing 0 doesn't change the value,so remove it from the expression
x=−2
x=−2x+9=0
Solve the equation for x
More Steps
Evaluate
x+9=0
Move the constant to the right-hand side and change its sign
x=0−9
Removing 0 doesn't change the value,so remove it from the expression
x=−9
x=−2x=−9
Solution
x1=−9,x2=−2
Show Solution