Solve the compound inequality and graph the solutions.

4x + 2 < −6 OR 4x + 2 > 18

(pie - 6) times(4 pie+3)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant   4 • -18 = -72

Find two factors of  -72  whose sum equals the coefficient of the middle term, which is   -21 .

     -72    +    1    =    -71

     -36    +    2    =    -34

     -24    +    3    =    -21    

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -24  and  3

                    4x2 - 24x + 3x - 18

Add up the first 2 terms, pulling out like factors :

                   4x • (x-6)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-6)

Add up the four terms of step 4 :

                   (4x+3)  •  (x-6)

            Which is the desired factorization

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

won't that be plagrisim thought?

step-by-step explanation: