Answer:
9x^2 + 5x + 6
Step-by-step explanation:
(((((6•(x2))-2x)+8)+3x2)+7x)-2
Equation at the end of step 2 :
(((((2•3x2) - 2x) + 8) + 3x2) + 7x) - 2
Trying to factor by splitting the middle term
3.1 Factoring 9x2+5x+6
The first term is, 9x2 its coefficient is 9 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is +6
Multiply the coefficient of the first term by the constant 9 • 6 = 54
Find two factors of 54 whose sum equals the coefficient of the middle term, which is 5 .
-54 + -1 = -55
-27 + -2 = -29
-18 + -3 = -21
-9 + -6 = -15
-6 + -9 = -15
-3 + -18 = -21
-2 + -27 = -29
-1 + -54 = -55
1 + 54 = 55
2 + 27 = 29
3 + 18 = 21
6 + 9 = 15
9 + 6 = 15
18 + 3 = 21
27 + 2 = 29
54 + 1 = 55
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
9x^2 + 5x + 6
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