Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2+3x+2
Evaluate
(x+2)(x+1)
Apply the distributive property
x×x+x×1+2x+2×1
Multiply the terms
x2+x×1+2x+2×1
Any expression multiplied by 1 remains the same
x2+x+2x+2×1
Any expression multiplied by 1 remains the same
x2+x+2x+2
Solution
More Steps
Evaluate
x+2x
Collect like terms by calculating the sum or difference of their coefficients
(1+2)x
Add the numbers
3x
x2+3x+2
Show Solution
Find the roots
x1=−2,x2=−1
Evaluate
(x+2)(x+1)
To find the roots of the expression,set the expression equal to 0
(x+2)(x+1)=0
Separate the equation into 2 possible cases
x+2=0x+1=0
Solve the equation
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+1=0
Solve the equation
More Steps
Evaluate
x+1=0
Move the constant to the right-hand side and change its sign
x=0−1
Removing 0 doesn't change the value,so remove it from the expression
x=−1
x=−2x=−1
Solution
x1=−2,x2=−1
Show Solution