Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
31(x−9)(x+3)
Evaluate
31x2−2x−9
Rewrite the expression
31x2−31×6x−31×27
Factor out 31 from the expression
31(x2−6x−27)
Solution
More Steps
Evaluate
x2−6x−27
Rewrite the expression
x2+(3−9)x−27
Calculate
x2+3x−9x−27
Rewrite the expression
x×x+x×3−9x−9×3
Factor out x from the expression
x(x+3)−9x−9×3
Factor out −9 from the expression
x(x+3)−9(x+3)
Factor out x+3 from the expression
(x−9)(x+3)
31(x−9)(x+3)
Show Solution
Find the roots
x1=−3,x2=9
Evaluate
31x2−2x−9
To find the roots of the expression,set the expression equal to 0
31x2−2x−9=0
Factor the expression
More Steps
Evaluate
31x2−2x−9
Rewrite the expression
31x2−31×6x−31×27
Factor out 31 from the expression
31(x2−6x−27)
Factor the expression
More Steps
Evaluate
x2−6x−27
Rewrite the expression
x2+(3−9)x−27
Calculate
x2+3x−9x−27
Rewrite the expression
x×x+x×3−9x−9×3
Factor out x from the expression
x(x+3)−9x−9×3
Factor out −9 from the expression
x(x+3)−9(x+3)
Factor out x+3 from the expression
(x−9)(x+3)
31(x−9)(x+3)
31(x−9)(x+3)=0
Divide the terms
(x−9)(x+3)=0
When the product of factors equals 0,at least one factor is 0
x−9=0x+3=0
Solve the equation for x
More Steps
Evaluate
x−9=0
Move the constant to the right-hand side and change its sign
x=0+9
Removing 0 doesn't change the value,so remove it from the expression
x=9
x=9x+3=0
Solve the equation for x
More Steps
Evaluate
x+3=0
Move the constant to the right-hand side and change its sign
x=0−3
Removing 0 doesn't change the value,so remove it from the expression
x=−3
x=9x=−3
Solution
x1=−3,x2=9
Show Solution