Finite Math Examples

Find the Degree (x^2+3x-10)^2
Step 1
Simplify and reorder the polynomial.
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Step 1.1
Rewrite as .
Step 1.2
Expand by multiplying each term in the first expression by each term in the second expression.
Step 1.3
Simplify terms.
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Step 1.3.1
Simplify each term.
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Step 1.3.1.1
Multiply by by adding the exponents.
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Step 1.3.1.1.1
Use the power rule to combine exponents.
Step 1.3.1.1.2
Add and .
Step 1.3.1.2
Rewrite using the commutative property of multiplication.
Step 1.3.1.3
Multiply by by adding the exponents.
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Step 1.3.1.3.1
Move .
Step 1.3.1.3.2
Multiply by .
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Step 1.3.1.3.2.1
Raise to the power of .
Step 1.3.1.3.2.2
Use the power rule to combine exponents.
Step 1.3.1.3.3
Add and .
Step 1.3.1.4
Move to the left of .
Step 1.3.1.5
Multiply by by adding the exponents.
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Step 1.3.1.5.1
Move .
Step 1.3.1.5.2
Multiply by .
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Step 1.3.1.5.2.1
Raise to the power of .
Step 1.3.1.5.2.2
Use the power rule to combine exponents.
Step 1.3.1.5.3
Add and .
Step 1.3.1.6
Rewrite using the commutative property of multiplication.
Step 1.3.1.7
Multiply by by adding the exponents.
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Step 1.3.1.7.1
Move .
Step 1.3.1.7.2
Multiply by .
Step 1.3.1.8
Multiply by .
Step 1.3.1.9
Multiply by .
Step 1.3.1.10
Multiply by .
Step 1.3.1.11
Multiply by .
Step 1.3.2
Simplify by adding terms.
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Step 1.3.2.1
Add and .
Step 1.3.2.2
Add and .
Step 1.3.2.3
Subtract from .
Step 1.3.2.4
Subtract from .
Step 2
The largest exponent is the degree of the polynomial.