Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−17)(x+1)
Evaluate
x2−16x−17
Rewrite the expression
x2+(1−17)x−17
Calculate
x2+x−17x−17
Rewrite the expression
x×x+x−17x−17
Factor out x from the expression
x(x+1)−17x−17
Factor out −17 from the expression
x(x+1)−17(x+1)
Solution
(x−17)(x+1)
Show Solution
Find the roots
x1=−1,x2=17
Evaluate
x2−16x−17
To find the roots of the expression,set the expression equal to 0
x2−16x−17=0
Factor the expression
More Steps
Evaluate
x2−16x−17
Rewrite the expression
x2+(1−17)x−17
Calculate
x2+x−17x−17
Rewrite the expression
x×x+x−17x−17
Factor out x from the expression
x(x+1)−17x−17
Factor out −17 from the expression
x(x+1)−17(x+1)
Factor out x+1 from the expression
(x−17)(x+1)
(x−17)(x+1)=0
When the product of factors equals 0,at least one factor is 0
x−17=0x+1=0
Solve the equation for x
More Steps
Evaluate
x−17=0
Move the constant to the right-hand side and change its sign
x=0+17
Removing 0 doesn't change the value,so remove it from the expression
x=17
x=17x+1=0
Solve the equation for x
More Steps
Evaluate
x+1=0
Move the constant to the right-hand side and change its sign
x=0−1
Removing 0 doesn't change the value,so remove it from the expression
x=−1
x=17x=−1
Solution
x1=−1,x2=17
Show Solution