Question
Factor the expression
Factor
(j+2)(j+4)
Evaluate
j2+6j+8
Rewrite the expression
j2+(4+2)j+8
Calculate
j2+4j+2j+8
Rewrite the expression
j×j+j×4+2j+2×4
Factor out j from the expression
j(j+4)+2j+2×4
Factor out 2 from the expression
j(j+4)+2(j+4)
Solution
(j+2)(j+4)
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Find the roots
Find the roots of the algebra expression
j1=−4,j2=−2
Evaluate
j2+6j+8
To find the roots of the expression,set the expression equal to 0
j2+6j+8=0
Factor the expression
More Steps
Evaluate
j2+6j+8
Rewrite the expression
j2+(4+2)j+8
Calculate
j2+4j+2j+8
Rewrite the expression
j×j+j×4+2j+2×4
Factor out j from the expression
j(j+4)+2j+2×4
Factor out 2 from the expression
j(j+4)+2(j+4)
Factor out j+4 from the expression
(j+2)(j+4)
(j+2)(j+4)=0
When the product of factors equals 0,at least one factor is 0
j+2=0j+4=0
Solve the equation for j
More Steps
Evaluate
j+2=0
Move the constant to the right-hand side and change its sign
j=0−2
Removing 0 doesn't change the value,so remove it from the expression
j=−2
j=−2j+4=0
Solve the equation for j
More Steps
Evaluate
j+4=0
Move the constant to the right-hand side and change its sign
j=0−4
Removing 0 doesn't change the value,so remove it from the expression
j=−4
j=−2j=−4
Solution
j1=−4,j2=−2
Show Solution