Answer:
3x7 • (4x2 - 5x + 3)
Step-by-step explanation:
End of step 1- (3 • (x7)) • ((22x2 - 5x) + 3)
End step 2- 3x7 • (4x2 - 5x + 3)
Step 3-Trying to factor by splitting the middle term
3.1 Factoring 4x2-5x+3
The first term is, 4x2 its coefficient is 4 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant 4 • 3 = 12
Step-2 : Find two factors of 12 whose sum equals the coefficient of the middle term, which is -5 .
-12 + -1 = -13
-6 + -2 = -8
-4 + -3 = -7
-3 + -4 = -7
-2 + -6 = -8
-1 + -12 = -13
1 + 12 = 13
2 + 6 = 8
3 + 4 = 7
4 + 3 = 7
6 + 2 = 8
12 + 1 = 13
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
3x7 • (4x2 - 5x + 3)