Algebra Examples

factor $x^{2} + 11 x + 28$

Step 1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $28$ and whose sum is $11$ .

$4, 7$

Step 2

Write the factored form using these integers.

$(x + 4) (x + 7)$