QuestionFactor the following expressions completely: a. c.
Studdy Solution
STEP 1
Assumptions1. We are asked to factorize two quadratic expressions and . . Factorization involves expressing the given expression as a product of its factors.
STEP 2
Let's start with the first expression . We need to find two numbers that multiply to -72 (the constant term) and add up to -1 (the coefficient of x).
STEP 3
The two numbers that satisfy these conditions are -9 and8 because and .
STEP 4
Now we can write the expression as because .
STEP 5
Now let's move on to the second expression . Again, we need to find two numbers that multiply to16 (the constant term) and add up to -8 (the coefficient of x).
STEP 6
The two numbers that satisfy these conditions are -4 and -4 because and .
STEP 7
Now we can write the expression as or because .
STEP 8
So, the factorized form of the given expressions area. c. These are the complete factorizations of the given expressions.
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