1. factor completely: 2a^2 + 6a + 18
2. factor completely: 5x^2 − 5
3. factor completely: 3t^3 + 18t^2 − 48t
4. factor completely: 4n − n^3

Step-by-step explanation:

Factor each expression

product =9 and sum =6

3 times 3 is 9

3 plus 3 is 6

2. Factor completely: 5x^2 − 5

GCF is 5

3. Factor completely: 3t^3 + 18t^2 − 48t

product is -16 and sum is 6

-2 times 8 = -16

-2+8=6

4. Factor completely: 4n − n^3

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

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step-by-step explanation: