Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(g−119)(g+17)
Evaluate
g2−102g−2023
Rewrite the expression
g2+(17−119)g−2023
Calculate
g2+17g−119g−2023
Rewrite the expression
g×g+g×17−119g−119×17
Factor out g from the expression
g(g+17)−119g−119×17
Factor out −119 from the expression
g(g+17)−119(g+17)
Solution
(g−119)(g+17)
Show Solution
Find the roots
g1=−17,g2=119
Evaluate
g2−102g−2023
To find the roots of the expression,set the expression equal to 0
g2−102g−2023=0
Factor the expression
More Steps
Evaluate
g2−102g−2023
Rewrite the expression
g2+(17−119)g−2023
Calculate
g2+17g−119g−2023
Rewrite the expression
g×g+g×17−119g−119×17
Factor out g from the expression
g(g+17)−119g−119×17
Factor out −119 from the expression
g(g+17)−119(g+17)
Factor out g+17 from the expression
(g−119)(g+17)
(g−119)(g+17)=0
When the product of factors equals 0,at least one factor is 0
g−119=0g+17=0
Solve the equation for g
More Steps
Evaluate
g−119=0
Move the constant to the right-hand side and change its sign
g=0+119
Removing 0 doesn't change the value,so remove it from the expression
g=119
g=119g+17=0
Solve the equation for g
More Steps
Evaluate
g+17=0
Move the constant to the right-hand side and change its sign
g=0−17
Removing 0 doesn't change the value,so remove it from the expression
g=−17
g=119g=−17
Solution
g1=−17,g2=119
Show Solution