Answer:  

2. The GCF is 7

Step-by-step explanation:

*Both 49 and 21 is divisible by 7.

*7 is also the Greatest "Common" Factor found between 49 and 21.

hope I help

Answer:

5. 10r²(3r^4 + 1)

Step-by-step explanation:

Get the GCF. Copy the variable with the lowest exponent. The GCF is 10r²

30 = 1,2,3,5,6,10,15,30

10 = 1,2,5,10

Divide 30r^6 by the GCF.

30r^6 ÷ 10r² = 3r^4

Put it inside the parenthesis.

10r²(3r^4

Divide 10r² by 10r².

10r² ÷ 10r² = 1

Put it inside the parenthesis and copy the sign.

10r²(3r^4 + 1)

Checking:

Multiply 10r² and 3r^4.

10r² × 3r^4 = 30r^6

Multiply 10r² and 1.

10r² × 1 = 10r²

Put it like this.

30r^6 + 10r²

Therefore, 10r²(3r^4 + 1) is the factor of 30r^6 + 10r².