Find the Degree f(x)=2x^2(x-1)(x+2)^3(x^2+1)^2

Find the Degree f(x)=2x^2(x-1)(x+2)^3(x^2+1)^2
Simplify and reorder the polynomial.
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Apply the distributive property.
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Use the Binomial Theorem.
Simplify each term.
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Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
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Simplify each term.
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Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Add and .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Add and .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Simplify by adding terms.
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Subtract from .
Subtract from .
Subtract from .
Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by .
Add and .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
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Simplify each term.
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Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Tap for more steps...
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by by adding the exponents.
Tap for more steps...
Move .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Tap for more steps...
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by by adding the exponents.
Tap for more steps...
Move .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Tap for more steps...
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by by adding the exponents.
Tap for more steps...
Move .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Tap for more steps...
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by by adding the exponents.
Tap for more steps...
Move .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Tap for more steps...
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Simplify by adding terms.
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Add and .
Add and .
Subtract from .
Subtract from .
Subtract from .
Subtract from .
The largest exponent is the degree of the polynomial.
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