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Mathematics
Juan Crane
18 February, 07:44
Factor this trinomial completely. - 12x^2+45x+12
+4
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Tristin Dixon
18 February, 10:27
0
Step-by-step Answer:
Step 1:
Extract factor (s) common to all terms.
In this case, the HCF is 3, so the expression is written
-12x^2+45x+12 = - 3 (4x^2-15x-4)
The negative sign was also exrracted to give a positive leading coefficient, which is easier to work with.
Step 2, group the coefficient in such a way that there is a common factor.
Leaving the factor - 4 for the moment, and concentrate on the coefficients in parentheses, write the original expression as
4x^2 - 15x - 4
= 4x^2 - 16x
+ x - 4
= 4x * (x-4) + 1 * (x-4)
extract (x-4) as a common factor
= (x-4) (4x+1)
Step 3:
Combine all the factors to get
-3 (x-4) (4x+1)
=3 (4-x) (4x+1)
as the complete factoring of the given expression.
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Nico Mata
18 February, 10:42
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Answer: - 12x^2 + 45x + 12
-3 (4x^2 - 15x - 4)
-3 (4x + 1) (x - 4)
Step-by-step explanation:
D.
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