Find the quotient following this pattern

image attached

x ^5 + x ^4 + x ^3 + x ^2 + x + 1

The answer to your question is below

Step-by-step explanation:

Synthetic division

                             1    0   0   0   0   0   -1    1

                                   1    1    1    1    1     1                                                

                             1    1     1    1    1    1    0              

Quotioent =    x⁵ + x⁴ + x³ + x² + x

Remainder = 0

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step-by-step explanation:

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x