Problemas
What are the two binomial factors for 4x^2-41x+72
Roztwór
Horacio
veterano · Tutor durante 9 años
4.5
(129 Votos)
Respuesta
To factor the quadratic expression
, we need to find two binomial factors that multiply to give the original expression.The general form of a quadratic expression is
, where
,
, and
are constants. In this case,
,
, and
.To factor the quadratic expression, we need to find two numbers whose product is equal to
(which is
) and whose sum is equal to
(which is
).Let's call the two numbers
and
. We need to find
and
such that
and
.By trial and error, we can find that
and
satisfy these conditions, since
and
.Now, we can rewrite the quadratic expression as
and factor by grouping:
Therefore, the two binomial factors for
are
and
.