Can someone PLEASE HELP me I need help I don’t understand!!!

JL would be the total length

The Sum of JK and KL would be equal to the value of JL

4x + 3x = 42

Finding x

7x = 42

x = 42/7

x = 6

Hence,

Value of x is 6

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."