Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(s−1)(s+3)
Evaluate
s2+2s−3
Rewrite the expression
s2+(3−1)s−3
Calculate
s2+3s−s−3
Rewrite the expression
s×s+s×3−s−3
Factor out s from the expression
s(s+3)−s−3
Factor out −1 from the expression
s(s+3)−(s+3)
Solution
(s−1)(s+3)
Show Solution
Find the roots
s1=−3,s2=1
Evaluate
(s2+2s−3)
To find the roots of the expression,set the expression equal to 0
s2+2s−3=0
Factor the expression
More Steps
Evaluate
s2+2s−3
Rewrite the expression
s2+(3−1)s−3
Calculate
s2+3s−s−3
Rewrite the expression
s×s+s×3−s−3
Factor out s from the expression
s(s+3)−s−3
Factor out −1 from the expression
s(s+3)−(s+3)
Factor out s+3 from the expression
(s−1)(s+3)
(s−1)(s+3)=0
When the product of factors equals 0,at least one factor is 0
s−1=0s+3=0
Solve the equation for s
More Steps
Evaluate
s−1=0
Move the constant to the right-hand side and change its sign
s=0+1
Removing 0 doesn't change the value,so remove it from the expression
s=1
s=1s+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=1s=−3
Solution
s1=−3,s2=1
Show Solution