Question
Simplify the expression
14x4−42x3
Evaluate
(x−3)(x2×2x×7)
Remove the parentheses
(x−3)x2×2x×7
Multiply the terms with the same base by adding their exponents
(x−3)x2+1×2×7
Add the numbers
(x−3)x3×2×7
Multiply the terms
(x−3)x3×14
Use the commutative property to reorder the terms
(x−3)×14x3
Multiply the terms
14x3(x−3)
Apply the distributive property
14x3×x−14x3×3
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
14x4−14x3×3
Solution
14x4−42x3
Show Solution

Find the roots
x1=0,x2=3
Evaluate
(x−3)(x2×2x×7)
To find the roots of the expression,set the expression equal to 0
(x−3)(x2×2x×7)=0
Multiply
More Steps

Multiply the terms
x2×2x×7
Multiply the terms with the same base by adding their exponents
x2+1×2×7
Add the numbers
x3×2×7
Multiply the terms
x3×14
Use the commutative property to reorder the terms
14x3
(x−3)×14x3=0
Multiply the terms
14x3(x−3)=0
Elimination the left coefficient
x3(x−3)=0
Separate the equation into 2 possible cases
x3=0x−3=0
The only way a power can be 0 is when the base equals 0
x=0x−3=0
Solve the equation
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=0x=3
Solution
x1=0,x2=3
Show Solution
