Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
3(a−4)(a+3)
Evaluate
3a2−3a−36
Rewrite the expression
3a2−3a−3×12
Factor out 3 from the expression
3(a2−a−12)
Solution
More Steps
Evaluate
a2−a−12
Rewrite the expression
a2+(3−4)a−12
Calculate
a2+3a−4a−12
Rewrite the expression
a×a+a×3−4a−4×3
Factor out a from the expression
a(a+3)−4a−4×3
Factor out −4 from the expression
a(a+3)−4(a+3)
Factor out a+3 from the expression
(a−4)(a+3)
3(a−4)(a+3)
Show Solution
Find the roots
a1=−3,a2=4
Evaluate
3a2−3a−36
To find the roots of the expression,set the expression equal to 0
3a2−3a−36=0
Factor the expression
More Steps
Evaluate
3a2−3a−36
Rewrite the expression
3a2−3a−3×12
Factor out 3 from the expression
3(a2−a−12)
Factor the expression
More Steps
Evaluate
a2−a−12
Rewrite the expression
a2+(3−4)a−12
Calculate
a2+3a−4a−12
Rewrite the expression
a×a+a×3−4a−4×3
Factor out a from the expression
a(a+3)−4a−4×3
Factor out −4 from the expression
a(a+3)−4(a+3)
Factor out a+3 from the expression
(a−4)(a+3)
3(a−4)(a+3)
3(a−4)(a+3)=0
Divide the terms
(a−4)(a+3)=0
When the product of factors equals 0,at least one factor is 0
a−4=0a+3=0
Solve the equation for a
More Steps
Evaluate
a−4=0
Move the constant to the right-hand side and change its sign
a=0+4
Removing 0 doesn't change the value,so remove it from the expression
a=4
a=4a+3=0
Solve the equation for a
More Steps
Evaluate
a+3=0
Move the constant to the right-hand side and change its sign
a=0−3
Removing 0 doesn't change the value,so remove it from the expression
a=−3
a=4a=−3
Solution
a1=−3,a2=4
Show Solution