Question
Factor the expression
(h−23)(h+1)
Evaluate
h2−22h−23
Rewrite the expression
h2+(1−23)h−23
Calculate
h2+h−23h−23
Rewrite the expression
h×h+h−23h−23
Factor out h from the expression
h(h+1)−23h−23
Factor out −23 from the expression
h(h+1)−23(h+1)
Solution
(h−23)(h+1)
Show Solution

Find the roots
h1=−1,h2=23
Evaluate
h2−22h−23
To find the roots of the expression,set the expression equal to 0
h2−22h−23=0
Factor the expression
More Steps

Evaluate
h2−22h−23
Rewrite the expression
h2+(1−23)h−23
Calculate
h2+h−23h−23
Rewrite the expression
h×h+h−23h−23
Factor out h from the expression
h(h+1)−23h−23
Factor out −23 from the expression
h(h+1)−23(h+1)
Factor out h+1 from the expression
(h−23)(h+1)
(h−23)(h+1)=0
When the product of factors equals 0,at least one factor is 0
h−23=0h+1=0
Solve the equation for h
More Steps

Evaluate
h−23=0
Move the constant to the right-hand side and change its sign
h=0+23
Removing 0 doesn't change the value,so remove it from the expression
h=23
h=23h+1=0
Solve the equation for h
More Steps

Evaluate
h+1=0
Move the constant to the right-hand side and change its sign
h=0−1
Removing 0 doesn't change the value,so remove it from the expression
h=−1
h=23h=−1
Solution
h1=−1,h2=23
Show Solution
