Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x5−2x4−15x2
Evaluate
(x−2)x4−3x×5x
Multiply the terms
x4(x−2)−3x×5x
Multiply
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Multiply the terms
3x×5x
Multiply the terms
15x×x
Multiply the terms
15x2
x4(x−2)−15x2
Solution
More Steps
Evaluate
x4(x−2)
Apply the distributive property
x4×x−x4×2
Multiply the terms
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Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
x5−x4×2
Use the commutative property to reorder the terms
x5−2x4
x5−2x4−15x2
Show Solution
Factor the expression
(x3−2x2−15)x2
Evaluate
(x−2)x4−3x×5x
Multiply the terms
x4(x−2)−3x×5x
Multiply
More Steps
Multiply the terms
3x×5x
Multiply the terms
15x×x
Multiply the terms
15x2
x4(x−2)−15x2
Rewrite the expression
x2(x−2)x2−15x2
Factor out x2 from the expression
(x2(x−2)−15)x2
Solution
(x3−2x2−15)x2
Show Solution
Find the roots
x1=0,x2≈3.342559
Evaluate
(x−2)(x4)−3x(5x)
To find the roots of the expression,set the expression equal to 0
(x−2)(x4)−3x(5x)=0
Calculate
(x−2)x4−3x(5x)=0
Multiply the terms
(x−2)x4−3x×5x=0
Multiply the terms
x4(x−2)−3x×5x=0
Multiply
More Steps
Multiply the terms
3x×5x
Multiply the terms
15x×x
Multiply the terms
15x2
x4(x−2)−15x2=0
Calculate
More Steps
Evaluate
x4(x−2)
Apply the distributive property
x4×x−x4×2
Multiply the terms
More Steps
Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
x5−x4×2
Use the commutative property to reorder the terms
x5−2x4
x5−2x4−15x2=0
Factor the expression
x2(x3−2x2−15)=0
Separate the equation into 2 possible cases
x2=0x3−2x2−15=0
The only way a power can be 0 is when the base equals 0
x=0x3−2x2−15=0
Solve the equation
x=0x≈3.342559
Solution
x1=0,x2≈3.342559
Show Solution