Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(s−8)(s+3)
Evaluate
s2−5s−24
Rewrite the expression
s2+(3−8)s−24
Calculate
s2+3s−8s−24
Rewrite the expression
s×s+s×3−8s−8×3
Factor out s from the expression
s(s+3)−8s−8×3
Factor out −8 from the expression
s(s+3)−8(s+3)
Solution
(s−8)(s+3)
Show Solution
Find the roots
s1=−3,s2=8
Evaluate
s2−5s−24
To find the roots of the expression,set the expression equal to 0
s2−5s−24=0
Factor the expression
More Steps
Evaluate
s2−5s−24
Rewrite the expression
s2+(3−8)s−24
Calculate
s2+3s−8s−24
Rewrite the expression
s×s+s×3−8s−8×3
Factor out s from the expression
s(s+3)−8s−8×3
Factor out −8 from the expression
s(s+3)−8(s+3)
Factor out s+3 from the expression
(s−8)(s+3)
(s−8)(s+3)=0
When the product of factors equals 0,at least one factor is 0
s−8=0s+3=0
Solve the equation for s
More Steps
Evaluate
s−8=0
Move the constant to the right-hand side and change its sign
s=0+8
Removing 0 doesn't change the value,so remove it from the expression
s=8
s=8s+3=0
Solve the equation for s
More Steps
Evaluate
s+3=0
Move the constant to the right-hand side and change its sign
s=0−3
Removing 0 doesn't change the value,so remove it from the expression
s=−3
s=8s=−3
Solution
s1=−3,s2=8
Show Solution