Algebra
Calculus
Trigonometry
Matrix
Question
x3(x2−9x×14)
Simplify the expression
x5−126x4
Evaluate
x3(x2−9x×14)
Multiply the terms
x3(x2−126x)
Apply the distributive property
x3×x2−x3×126x
Multiply the terms
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Evaluate
x3×x2
Use the product rule an×am=an+m to simplify the expression
x3+2
Add the numbers
x5
x5−x3×126x
Solution
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Evaluate
x3×126x
Use the commutative property to reorder the terms
126x3×x
Multiply the terms
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Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
126x4
x5−126x4
Show Solution
Factor the expression
x4(x−126)
Evaluate
x3(x2−9x×14)
Multiply the terms
x3(x2−126x)
Factor the expression
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Evaluate
x2−126x
Rewrite the expression
x×x−x×126
Factor out x from the expression
x(x−126)
x3×x(x−126)
Solution
x4(x−126)
Show Solution
Find the roots
x1=0,x2=126
Evaluate
(x3)(x2−9x×14)
To find the roots of the expression,set the expression equal to 0
(x3)(x2−9x×14)=0
Calculate
x3(x2−9x×14)=0
Multiply the terms
x3(x2−126x)=0
Separate the equation into 2 possible cases
x3=0x2−126x=0
The only way a power can be 0 is when the base equals 0
x=0x2−126x=0
Solve the equation
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Evaluate
x2−126x=0
Factor the expression
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Evaluate
x2−126x
Rewrite the expression
x×x−x×126
Factor out x from the expression
x(x−126)
x(x−126)=0
When the product of factors equals 0,at least one factor is 0
x=0x−126=0
Solve the equation for x
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Evaluate
x−126=0
Move the constant to the right-hand side and change its sign
x=0+126
Removing 0 doesn't change the value,so remove it from the expression
x=126
x=0x=126
x=0x=0x=126
Find the union
x=0x=126
Solution
x1=0,x2=126
Show Solution