Reformatting the intake :
Changes do to her input should not influence the solution: (1): "x2" was replaced by "x^2". 1 an ext similar replacement(s).You are watching: Factor the polynomial. 3x3 – 12x2 + 27x
Step 1 :
Equation in ~ the finish of action 1 :((3 • (x3)) - (22•3x2)) + 27x
action 2 :
Equation in ~ the finish of step 2 : (3x3 - (22•3x2)) + 27xStep 3 :
Step 4 :
Pulling out like terms :4.1 pull out like factors:3x3 - 12x2 + 27x=3x•(x2 - 4x + 9)Trying to factor by dividing the center term4.2Factoring x2 - 4x + 9 The first term is, x2 its coefficient is 1.The middle term is, -4x the coefficient is -4.The critical term, "the constant", is +9Step-1 : multiply the coefficient of the very first term by the continuous 1•9=9Step-2 : find two determinants of 9 whose sum equals the coefficient that the center term, which is -4.
| -9 | + | -1 | = | -10 | ||
| -3 | + | -3 | = | -6 | ||
| -1 | + | -9 | = | -10 | ||
| 1 | + | 9 | = | 10 | ||
| 3 | + | 3 | = | 6 | ||
| 9 | + | 1 | = | 10 |
Observation : No 2 such components can be found !! Conclusion : Trinomial can not it is in factored
Final result :
3x • (x2 - 4x + 9)Why find out this
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