The equation is .
In this trinomial, . Since c is positive and b is negative, you need to find two negative factors with a sum of
and a product of
.
Apply the pattern: .
(Substitute
)
(Apply distributive property:
)
(Apply distributive property:
)
(Apply distributive property:
)
Use the principle of zeroproducts, which says, if ab=0, either a , b or both must be equal to zero.
\ (Add 3 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
. (Apply additive identity property:
)
(Add 12 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
. (Apply additive identity property:
)
(Divide each side by 4)
(Cancel common terms)
(Divide:
)
The roots are .