To factor the expression
we need to identify two numbers that multiply to 21 (the constant term) and add up to -10 (the coefficient of x).
Step 1: Identify pairs of factors of 21
The pairs of factors of 21 are:
1 and 21
3 and 7
Step 2: Choose the correct pair
We are looking for a pair that adds up to -10:
The pair that works is -3 and -7(since -3 + (-7) = -10 ).
Step 3: Write the factored form
Thus, we can factor the expression as: