Question

Can someone help me Factor the GCF out of the expressions! Thank you! You dont have to do all. :)

Answer 1

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)

Answer 2

1. -10v(v^3 + 6v^2 + 7)
2. 4m^2(3m^3 + 9m + 10)
3. 10(n^2 + 5n - 8)
4. 42^3= 70488/18= 4166
42^2= 1764/18= 98
-18(x^4 + 4166 - 98)