Which of the following is a correct factorization of this trinomial? -4x² +11x-6
A. -(4x+3)(x + 2). B. -4(x+3)(x + 2)
C. -(x+3)(x-4)
D. (-4x+3)(x-2)

D

Step-by-step explanation:

Step 1: Find the factors of 4 and -6

-4x² +11x-6

-4x           3  

1x           -2

(This works because -4 x -2 multiple to 8 and 3 x 1 gives you 3 and when you add it up it gives you the 'b' term)

Step 2: Read the numbers from left to right starting from the top to bottom

(-4x+3)(1x-2)

Therefore the answer to the question is D.

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: