2w²-4w+9
Please help guys
Answers
Answer:
Final result :
-3w2 - 7w - 6
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "w2" was replaced by "w^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(((2•(w2))-4w)-8)-((5w2+3w)-2)
STEP
2
:
Equation at the end of step
2
:
((2w2 - 4w) - 8) - (5w2 + 3w - 2)
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-3w2 - 7w - 6 = -1 • (3w2 + 7w + 6)
Trying to factor by splitting the middle term
4.2 Factoring 3w2 + 7w + 6
The first term is, 3w2 its coefficient is 3 .
The middle term is, +7w its coefficient is 7 .
The last term, "the constant", is +6
Step-1 : Multiply the coefficient of the first term by the constant 3 • 6 = 18
Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is 7 .
-18 + -1 = -19
-9 + -2 = -11
-6 + -3 = -9
-3 + -6 = -9
-2 + -9 = -11
-1 + -18 = -19
1 + 18 = 19
2 + 9 = 11
3 + 6 = 9
6 + 3 = 9
9 + 2 = 11
18 + 1 = 19
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
-3w2 - 7w - 6