Question
Factor the expression
x(7x2+3x−26)
Evaluate
7x3+3x2−26x
Rewrite the expression
x×7x2+x×3x−x×26
Solution
x(7x2+3x−26)
Show Solution
Find the roots
x1=−143+737,x2=0,x3=14−3+737
Alternative Form
x1≈−2.15341,x2=0,x3≈1.724839
Evaluate
7x3+3x2−26x
To find the roots of the expression,set the expression equal to 0
7x3+3x2−26x=0
Factor the expression
x(7x2+3x−26)=0
Separate the equation into 2 possible cases
x=07x2+3x−26=0
Solve the equation
More Steps
Evaluate
7x2+3x−26=0
Substitute a=7,b=3 and c=−26 into the quadratic formula x=2a−b±b2−4ac
x=2×7−3±32−4×7(−26)
Simplify the expression
x=14−3±32−4×7(−26)
Simplify the expression
More Steps
Evaluate
32−4×7(−26)
Multiply
32−(−728)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
32+728
Evaluate the power
9+728
Add the numbers
737
x=14−3±737
Separate the equation into 2 possible cases
x=14−3+737x=14−3−737
Use b−a=−ba=−ba to rewrite the fraction
x=14−3+737x=−143+737
x=0x=14−3+737x=−143+737
Solution
x1=−143+737,x2=0,x3=14−3+737
Alternative Form
x1≈−2.15341,x2=0,x3≈1.724839
Show Solution