factorization of 6xsquare - 9x + 14 = 0
Answers
STEP 1:
Equation at the end of step 1
((2•3x2) - 9x) + 14 = 0
STEP 2:
Trying to factor by splitting the middle term
2.1 Factoring 6x2-9x+14
The first term is, 6x2 its coefficient is 6 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is +14
Step 1 : Multiply the coefficient of the first term by the constant 6 • 14 = 84
Step-2 : Find two factors of 84 whose sum equals the coefficient of the middle term, which is -9 .
-84 + -1 = -85
-42 + -2 = -44
-28 + -3 = -31
-21 + -4 = -25
-14 + -6 = -20
-12 + -7 = -19
For tidiness, printing of 18 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored.
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