Answer:
-x2 - 2x + 10
Explanation:
(((x2)-5x)+3)-((2x2-3x)-7)
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
-x2 - 2x + 10 = -1 • (x2 + 2x - 10)
Trying to factor by splitting the middle term
3.2 Factoring x2 + 2x - 10
The first term is, x2 its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 1 • -10 = -10
Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is 2 .
-10 + 1 = -9
-5 + 2 = -3
-2 + 5 = 3
-1 + 10 = 9
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored