Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(p−23)(p+1)
Evaluate
p2−22p−23
Rewrite the expression
p2+(1−23)p−23
Calculate
p2+p−23p−23
Rewrite the expression
p×p+p−23p−23
Factor out p from the expression
p(p+1)−23p−23
Factor out −23 from the expression
p(p+1)−23(p+1)
Solution
(p−23)(p+1)
Show Solution
Find the roots
p1=−1,p2=23
Evaluate
p2−22p−23
To find the roots of the expression,set the expression equal to 0
p2−22p−23=0
Factor the expression
More Steps
Evaluate
p2−22p−23
Rewrite the expression
p2+(1−23)p−23
Calculate
p2+p−23p−23
Rewrite the expression
p×p+p−23p−23
Factor out p from the expression
p(p+1)−23p−23
Factor out −23 from the expression
p(p+1)−23(p+1)
Factor out p+1 from the expression
(p−23)(p+1)
(p−23)(p+1)=0
When the product of factors equals 0,at least one factor is 0
p−23=0p+1=0
Solve the equation for p
More Steps
Evaluate
p−23=0
Move the constant to the right-hand side and change its sign
p=0+23
Removing 0 doesn't change the value,so remove it from the expression
p=23
p=23p+1=0
Solve the equation for p
More Steps
Evaluate
p+1=0
Move the constant to the right-hand side and change its sign
p=0−1
Removing 0 doesn't change the value,so remove it from the expression
p=−1
p=23p=−1
Solution
p1=−1,p2=23
Show Solution