Answer:
(6 a + 1) (a - 4)
Step-by-step explanation:
Factor the following:
6 a^2 - 23 a - 4
Factor the quadratic 6 a^2 - 23 a - 4. The coefficient of a^2 is 6 and the constant term is -4. The product of 6 and -4 is -24. The factors of -24 which sum to -23 are 1 and -24. So 6 a^2 - 23 a - 4 = 6 a^2 - 24 a + a - 4 = a (6 a + 1) - 4 (6 a + 1):
a (6 a + 1) - 4 (6 a + 1)
Factor 6 a + 1 from a (6 a + 1) - 4 (6 a + 1):
Answer: (6 a + 1) (a - 4)
Answer:
(5x-1)(3x+2)
(if you don't want to do all of this you can use
Step-by-step explanation:
((3•5x2) + 7x) - 2
Factoring 15x2+7x-2
The first term is, 15x2 its coefficient is 15 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 15 • -2 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is 7 .
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7
-6 + 5 = -1
-5 + 6 = 1
-3 + 10 = 7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 10
15x2 - 3x + 10x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (5x-1)
Add up the last 2 terms, pulling out common factors :
2 • (5x-1)
Step-5 : Add up the four terms of step 4 :
(3x+2) • (5x-1)
Which is the desired factorization
Exact Form:
-31/4
Decimal Form:
−7.75
Mixed Number Form:
− 7 3/4
