Answer:
3 • (x2 - x + 3)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(3x2 + 7) - (3x - 2)
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
3x2 - 3x + 9 = 3 • (x2 - x + 3)
Trying to factor by splitting the middle term
3.2 Factoring x2 - x + 3
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant 1 • 3 = 3
Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -1 .
-3 + -1 = -4
-1 + -3 = -4
1 + 3 = 4
3 + 1 = 4
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
3 • (x2 - x + 3)
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