Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x4−7x3
Evaluate
(x−7)x3
Multiply the terms
x3(x−7)
Apply the distributive property
x3×x−x3×7
Multiply the terms
More Steps
Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
x4−x3×7
Solution
x4−7x3
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Find the roots
x1=0,x2=7
Evaluate
(x−7)(x3)
To find the roots of the expression,set the expression equal to 0
(x−7)(x3)=0
Calculate
(x−7)x3=0
Multiply the terms
x3(x−7)=0
Separate the equation into 2 possible cases
x3=0x−7=0
The only way a power can be 0 is when the base equals 0
x=0x−7=0
Solve the equation
More Steps
Evaluate
x−7=0
Move the constant to the right-hand side and change its sign
x=0+7
Removing 0 doesn't change the value,so remove it from the expression
x=7
x=0x=7
Solution
x1=0,x2=7
Show Solution