Question

PLEASE HELP ITS URGENT
1. A polynomial expression is shown below.
(mx + 8) (2x - 4)
The expression is simplified to:
-6x^2 + 28x - 32
what is the value of m?
a. -3
b. -4
c. 3
d. 4

2. Jerome noticed the following house numbers on his street:

305, 318, 331, 344

The house numbers follow a pattern. Which expression can be used to determine the n^th house number on his street?
a. 292n + 13
b. 292 +13n
c. 13(n + 292)
d. 292n

Answer 1

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