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Factor these eqations. Please show work.?
A. h^2 -h -6
B. -3v^9-3^8 + 36v
C. m^2 -4m +4
D. 12t^2 -17t +6
3 Answers
- 1 decade agoFavorite Answer
A) (h-3)(h+2)
B) -3v^9-3^8+36v= -3(v^9+1-12v)=3(v+4)(v-3)
C) (m-2)(m-2)
D) (4t-3)(3t-2)
you cant show work for the first two but you can for D
you use this method:
in an ax^2+bx+c equation where a is greater than one you multiply the c value by a to get 12t^2-17t+72
then set up the equation like this
(12t-#)(12t-#)
------------------
12
then you use the basic method of what two #'s multiply to get 72 but add up to -17 in this case they are -9 and -8
now simplify
(12t-9)(12t-8)
----------------
12
3(4t-3)4(3t-2)
-----------------
12
(4t-3)(3t-2)
now check
(4t-3)(3t-2)=12t^2 -17t +6
- 1 decade ago
A. h^2-h-6 = (h-3)(h+2)
B. -3v^9-3^8+36v= -3(v^9+1-12v)=3(v+4)(v-3)
C. m^2-4m+4= (m-2)(m-2)=(m-2)^2
D. 17 is a prime number so I would suggest that you use the quadratic equation to factor it. If you don't know the quadratic equation it is as follows: -b plus or minus the square root of b^2-4ac divided by 2a. A is the value that is raised to a power, b is the linear term or the number with the variable raised to no power and that leaves c as the number that does not have a variable attached to it.
Source(s): myself