Hello from MrBillDoesMath!
Answer:
#1. Choice a, m = -3
#2 Choice b, 292+13m
Discussion:
#1:
(mx+8) (2x-4) = 2 m x^2 - 4 m x + 16 x - 32
= m(2x^2) + x( -4m+16) -32
If this expressions equals
= -6x^2 + 28x - 32
then 2m = -6 and -4m+16 = 28, which gives m = -3. That is Choice A.
#2
Choice b:
a(n) = 292 + 13n , n > = 1
a(1) = 292 + 13(1) = 305
a(2) = 292 + 13(2) = 292 + 26 = 318
a(3) = 292 + 13(3) = 292 + 39 = 331
a(4) = 292 + 4(13) = 292 + 52 = 344
The sequence a(n) values match those given in the Question.
Thank you,
MrB
