Factor over the Complex Numbers x^4+4x^3+44x^2+196x-245

Math
Regroup terms.
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Let . Substitute for all occurrences of .
Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Replace all occurrences of with .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Let . Substitute for all occurrences of .
Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Factor.
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Replace all occurrences of with .
Remove unnecessary parentheses.
Multiply the constant in the polynomial by where is equal to .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Multiply by .
Factor over the Complex Numbers x^4+4x^3+44x^2+196x-245

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