Answer:
[tex]\displaystyle [7x + 2][3x - 7][/tex]
Step-by-step explanation:
Find two quantities that when differed to 43, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the plus symbol because the B-value is −43, therefore 49 gets the minus symbol, leaving 6 with the plus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:
[tex]\displaystyle 21x^2 - 43x - 14 \\ \\ [21x^2 + 6x] - [49x - 14] \\ 3x[7x + 2] - 7[7x + 2] \\ \\ \boxed{[7x + 2][3x - 7]}[/tex]
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