(3x2-11x-4)-(x-2)(2x+3)
Final result :
x2 - 10x + 2
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((3•(x2))-11x)-4)-(x-2)•(2x+3)
Step 2 :
Equation at the end of step 2 :
((3x2 - 11x) - 4) - (x - 2) • (2x + 3)
Step 3 :
Trying to factor by splitting the middle term
3.1 Factoring x2-10x+2
The first term is, x2 its coefficient is 1 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is +2
Step-1 : Multiply the coefficient of the first term by the constant 1 • 2 = 2
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is -10 .
-2 + -1 = -3
-1 + -2 = -3
1 + 2 = 3
2 + 1 = 3
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 - 10x + 2
