Can y’all pls check this?

Step-by-step explanation:

1) : x = +-3

2): x=4.83 and x = -0.83

3): x= +-3.83

4): x=-8 and x =0

1st one is correct.

for second one

2(x-2)²=16

or, (x-2)² = 8

so, x = 4.83

again,

now

3x²+4=48

or, 3x² = 44

or, x² = 44/3

so, x = 3.83

again

3(x+4)²=48

or, (x+4)² = 16

or, x+4 = 4

so, x = 0

or

x+4 = -4 (since root under 16 is also -4)

x = -8

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."