Use the product rule to simplify the radical— square root 315

Using the product rule, simplify the radical as such:

√315 = √7 × √45 = √7 × √9 × √5 = 3 × √7 × √5 = 3√35

The simplified radical of √315 is 3√35.

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."