Question
Factor. 9z^2-18z-7 square square
Solution
4
(178 Votos)
Zuleide
Elite · Tutor por 8 anos
Resposta
To factor the quadratic expression
, we need to find two numbers that multiply to give the product of the coefficient of
term (9) and the constant term (-7), which is -63, and add up to the coefficient of the
term, which is -18.The two numbers that satisfy these conditions are -21 and 3, since:-21 * 3 = -63-21 + 3 = -18Now, we can rewrite the middle term (-18z) using these two numbers:
Next, we group the terms:
Factor out the greatest common factor from each group:
Now, we can factor out the common binomial factor
:
Therefore, the factored form of
is: