Determine the quotient and check your answer

9514 1404 393

  4x^2 +16x +42 +92/(x -2)

Step-by-step explanation:

Synthetic division tells you the quotient is 4x^2 +16x +42 with a remainder of 92. To check this, we can multiply the quotient by the divisor and add the remainder:

  (x -2)(4x^2 +16x +42) +92

  = x(4x^2 +16x +42) -2(4x^2 +16x +42) +92

  = 4x^3 +16x^2 +42x -8x^2 -32x -84 +92

  = 4x^3 +8x^2 +10x +8 . . . . . the original dividend, as required

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105