Problemas
inomial: 5x^2+39x+28 Attempt 1 out of 2
Roztwór
Amira
veterano · Tutor durante 12 años
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(274 Votos)
Respuesta
To factor the trinomial
, we need to find two numbers whose product is equal to the product of the coefficient of
(which is 5) and the constant term (which is 28), and whose sum is equal to the coefficient of
(which is 39).The product of the coefficient of
and the constant term is
.We need to find two numbers whose product is 140 and whose sum is 39. After some trial and error, we find that the numbers 35 and 4 satisfy these conditions.Now, we can rewrite the trinomial as
.Next, we can factor by grouping. We group the first two terms and the last two terms together:
.Now, we can factor out the common factor of
:
.Therefore, the factored form of the trinomial
is
.