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 +9Step1 : multiply the coefficient of the very first term by the continuous 1•9=9Step2 : 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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