Problemas
Q. 3. Which expression is a factored form of 6x^2-17x+5 Do (3x-1)(2x-5) Do (3x+1)(2x-5) (3x-1)(2x+5) Do (3x+1)(2x+5)
Roztwór
Ricardo
professionell · Tutor durante 6 años
4.3
(188 Votos)
Respuesta
To factor the quadratic expression
, we need to find two binomials whose product gives us the original quadratic expression.Let's start by writing the quadratic expression in the form of
, where
,
,
, and
are constants.We know that the product of the first terms
should be equal to the coefficient of
, which is
. So, we have
.Next, we need to find the values of
and
such that their product is equal to the constant term, which is
. So, we have
.Now, we need to find the values of
and
such that their sum is equal to the coefficient of
, which is
. So, we have
.Let's try the first option:
.Expanding this expression, we get:
This matches the original quadratic expression, so the factored form of
is
.Therefore, the correct answer is:
.