Question
Simplify the expression
x7−3x6
Evaluate
x2(x−3)x4
Multiply the terms with the same base by adding their exponents
x2+4(x−3)
Add the numbers
x6(x−3)
Apply the distributive property
x6×x−x6×3
Multiply the terms
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Evaluate
x6×x
Use the product rule an×am=an+m to simplify the expression
x6+1
Add the numbers
x7
x7−x6×3
Solution
x7−3x6
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Find the roots
x1=0,x2=3
Evaluate
(x2)(x−3)(x4)
To find the roots of the expression,set the expression equal to 0
(x2)(x−3)(x4)=0
Calculate
x2(x−3)(x4)=0
Calculate
x2(x−3)x4=0
Multiply
More Steps

Multiply the terms
x2(x−3)x4
Multiply the terms with the same base by adding their exponents
x2+4(x−3)
Add the numbers
x6(x−3)
x6(x−3)=0
Separate the equation into 2 possible cases
x6=0x−3=0
The only way a power can be 0 is when the base equals 0
x=0x−3=0
Solve the equation
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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=0x=3
Solution
x1=0,x2=3
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