Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
9(k−2)(k+1)
Evaluate
9k2−9k−18
Rewrite the expression
9k2−9k−9×2
Factor out 9 from the expression
9(k2−k−2)
Solution
More Steps
Evaluate
k2−k−2
Rewrite the expression
k2+(1−2)k−2
Calculate
k2+k−2k−2
Rewrite the expression
k×k+k−2k−2
Factor out k from the expression
k(k+1)−2k−2
Factor out −2 from the expression
k(k+1)−2(k+1)
Factor out k+1 from the expression
(k−2)(k+1)
9(k−2)(k+1)
Show Solution
Find the roots
k1=−1,k2=2
Evaluate
9k2−9k−18
To find the roots of the expression,set the expression equal to 0
9k2−9k−18=0
Factor the expression
More Steps
Evaluate
9k2−9k−18
Rewrite the expression
9k2−9k−9×2
Factor out 9 from the expression
9(k2−k−2)
Factor the expression
More Steps
Evaluate
k2−k−2
Rewrite the expression
k2+(1−2)k−2
Calculate
k2+k−2k−2
Rewrite the expression
k×k+k−2k−2
Factor out k from the expression
k(k+1)−2k−2
Factor out −2 from the expression
k(k+1)−2(k+1)
Factor out k+1 from the expression
(k−2)(k+1)
9(k−2)(k+1)
9(k−2)(k+1)=0
Divide the terms
(k−2)(k+1)=0
When the product of factors equals 0,at least one factor is 0
k−2=0k+1=0
Solve the equation for k
More Steps
Evaluate
k−2=0
Move the constant to the right-hand side and change its sign
k=0+2
Removing 0 doesn't change the value,so remove it from the expression
k=2
k=2k+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=2k=−1
Solution
k1=−1,k2=2
Show Solution