What is the sum of root of 3x²+5x+9
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The first term is, 3x2 its coefficient is 3 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 3 • 9 = 27
Step-2 : Find two factors of 27 whose sum equals the coefficient of the middle term, which is 5 .
-27 + -1 = -28
-9 + -3 = -12
-3 + -9 = -12
-1 + -27 = -28
1 + 27 = 28
3 + 9 = 12
9 + 3 = 12
27 + 1 = 28
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
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