Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−x3+7x2
Evaluate
(x−7)(−x2)
Use the rules for multiplication and division
−(x−7)x2
Multiply the terms
x2(−x+7)
Apply the distributive property
x2(−x)+x2×7
Multiply the terms
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Evaluate
x2(−x)
Use the commutative property to reorder the terms
−x2×x
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
−x3
−x3+x2×7
Solution
−x3+7x2
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Find the roots
x1=0,x2=7
Evaluate
(x−7)(−x2)
To find the roots of the expression,set the expression equal to 0
(x−7)(−x2)=0
Multiply the terms
−x2(x−7)=0
Change the sign
x2(x−7)=0
Separate the equation into 2 possible cases
x2=0x−7=0
The only way a power can be 0 is when the base equals 0
x=0x−7=0
Solve the equation
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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