Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+3)(x+8)
Evaluate
x2+11x+24
Rewrite the expression
x2+(8+3)x+24
Calculate
x2+8x+3x+24
Rewrite the expression
x×x+x×8+3x+3×8
Factor out x from the expression
x(x+8)+3x+3×8
Factor out 3 from the expression
x(x+8)+3(x+8)
Solution
(x+3)(x+8)
Show Solution
Find the roots
x1=−8,x2=−3
Evaluate
x2+11x+24
To find the roots of the expression,set the expression equal to 0
x2+11x+24=0
Factor the expression
More Steps
Evaluate
x2+11x+24
Rewrite the expression
x2+(8+3)x+24
Calculate
x2+8x+3x+24
Rewrite the expression
x×x+x×8+3x+3×8
Factor out x from the expression
x(x+8)+3x+3×8
Factor out 3 from the expression
x(x+8)+3(x+8)
Factor out x+8 from the expression
(x+3)(x+8)
(x+3)(x+8)=0
When the product of factors equals 0,at least one factor is 0
x+3=0x+8=0
Solve the equation for x
More Steps
Evaluate
x+3=0
Move the constant to the right-hand side and change its sign
x=0−3
Removing 0 doesn't change the value,so remove it from the expression
x=−3
x=−3x+8=0
Solve the equation for x
More Steps
Evaluate
x+8=0
Move the constant to the right-hand side and change its sign
x=0−8
Removing 0 doesn't change the value,so remove it from the expression
x=−8
x=−3x=−8
Solution
x1=−8,x2=−3
Show Solution