8x²-6x+8
please answer
Answers
2 • (4x2 - 3x - 4)
Step-by-step explanation:
(23x2 - 6x) - 8
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
8x2 - 6x - 8 = 2 • (4x2 - 3x - 4)
Trying to factor by splitting the middle term
3.2 Factoring 4x2 - 3x - 4
The first term is, 4x2 its coefficient is 4 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 4 • -4 = -16
Step-2 : Find two factors of -16 whose sum equals the coefficient of the middle term, which is -3 .
-16 + 1 = -15
-8 + 2 = -6
-4 + 4 = 0
-2 + 8 = 6
-1 + 16 = 15
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
2 • (4x2 - 3x - 4)