Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(k−3)(k+1)
Evaluate
k2−2k−3
Rewrite the expression
k2+(1−3)k−3
Calculate
k2+k−3k−3
Rewrite the expression
k×k+k−3k−3
Factor out k from the expression
k(k+1)−3k−3
Factor out −3 from the expression
k(k+1)−3(k+1)
Solution
(k−3)(k+1)
Show Solution
Find the roots
k1=−1,k2=3
Evaluate
k2−2k−3
To find the roots of the expression,set the expression equal to 0
k2−2k−3=0
Factor the expression
More Steps
Evaluate
k2−2k−3
Rewrite the expression
k2+(1−3)k−3
Calculate
k2+k−3k−3
Rewrite the expression
k×k+k−3k−3
Factor out k from the expression
k(k+1)−3k−3
Factor out −3 from the expression
k(k+1)−3(k+1)
Factor out k+1 from the expression
(k−3)(k+1)
(k−3)(k+1)=0
When the product of factors equals 0,at least one factor is 0
k−3=0k+1=0
Solve the equation for k
More Steps
Evaluate
k−3=0
Move the constant to the right-hand side and change its sign
k=0+3
Removing 0 doesn't change the value,so remove it from the expression
k=3
k=3k+1=0
Solve the equation for k
More Steps
Evaluate
k+1=0
Move the constant to the right-hand side and change its sign
k=0−1
Removing 0 doesn't change the value,so remove it from the expression
k=−1
k=3k=−1
Solution
k1=−1,k2=3
Show Solution