# Write as a Set of Linear Factors f(x)=x^4-2x^3-17x^2+18x+72

Regroup terms.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Factor.
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Remove unnecessary parentheses.
Rewrite as .
Let . Substitute for all occurrences of .
Factor using the AC method.
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 .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Factor out of .
Factor out of .
Factor out of .
Let . Substitute for all occurrences of .
Factor using the AC method.
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.
Replace all occurrences of with .
Remove unnecessary parentheses.
Write as a Set of Linear Factors f(x)=x^4-2x^3-17x^2+18x+72