Answer:
Step-by-step explanation:
1) -10v^4 - 60 v³ - 70v involves the common factor -10v in all three given terms. Thus, -10v is the GCF. The quotient is v³ + 6v² +7.
2) 12m^5 + 36m^3 + 40m² Here we can see that 12 is common to the first two terms but not to the third one. 4m² is common to all three terms, resulting in a quotient of 3m³ + 9m + 10
3) 10n² + 50n - 80 clearly features 10 as a factor common to all three given terms. Factoring 10 out, we get the quotient n² + 5n - 8. The GCF is 10.
4) -18x^4 - 42³ + 42² has 6 as the GCF. 6 divided into -18x^4 yields -3x^4; 6 divided into 42³ yields 12348, and 6 divided into 42² yields 294.
Thus, -18x^4 - 42³ + 42² = 6(-3x^4 + 12348 + 294).
-3 is also a factor common to all three terms within parentheses: (6)(-3)(x^4 - 4116 - 98)
