Calculus Examples

Identify the Zeros and Their Multiplicities
Step 1
Set equal to .
Step 2
Solve for .
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Step 2.1
Factor using the perfect square rule.
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Step 2.1.1
Rewrite as .
Step 2.1.2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 2.1.3
Rewrite the polynomial.
Step 2.1.4
Factor using the perfect square trinomial rule , where and .
Step 2.2
Set the equal to .
Step 2.3
Subtract from both sides of the equation.
(Multiplicity of )
(Multiplicity of )
Step 3
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