Factor the Polynomial: 20x³+34x²+6x = ?

2x(5x+1)(2x+3)=0

Step-by-step explanation:

x{20x^2+34x+6}=0

2x(10x^2+17+3)=0

2x(10x^2+15x+2x+3)=0

2x{5x(2x+3)+1(2x+3)}=0

2x(5x+1)(2x+3)=0

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."