Can someone please help?

11. last option with x ≠ 1 is the choice

Step-by-step explanation:

x² + 5x +6 = (x + 2) (x + 3)

x² + x - 12 = (x - 3) (x + 4)

x² + x - 2 = (x - 1) (x + 2)

(x² + 5x +6) / (x + 4) * (x² + x - 12) / (x² + x - 2)

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

= (x + 3) ( x - 3) / (x - 1)

x - 1 ≠ 0  If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value will be undefined

I think only the last option that has x ≠ 1 is the answer

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336