The first term a = 1,
Common difference, d: 7 - 1 = 6.
a(n) = a + (n -1)d,
For 30th term. = 1 + (30 -1)*6
= 1 + 29*6 = 1 + 174 = 175
Answer:
(x - 1) (x + 2) (x + 4)
Step-by-step explanation:
Factor the following:
x^3 + 5 x^2 + 2 x - 8
The possible rational roots of x^3 + 5 x^2 + 2 x - 8 are x = ± 1, x = ± 2, x = ± 4, x = ± 8. Of these, x = 1, x = -2 and x = -4 are roots. This gives x - 1, x + 2 and x + 4 as all factors:
Answer: (x - 1) (x + 2) (x + 4)
The power to a power rule is : KEEP THE BASE AND MULTIPLY THE POWERS.
Ex. (x^3)^4 = x^(3*4) = x^12
So ....
(7^10)^5 = 7^50
Last option is correct.