Question

find the quotient and the remainder if the polynomial 4x^3+20x^2+33x+18

Answer 1

Answer:

look

Step-by-step explanation:

4x^3 +20x^2 +33x + 18

=> 4x^3 +8x^2 +12x^2 + 24x + 9x + 18

=> 4x^2 (x+2) + 12x(x+2) + 9(x+2)

=> (x+2)(4x^2 +12x +9)

=> (x+2)(4x^2 +6x + 6x +9)

=> (x+2)[2x(2x+3) + 3(2x+3)]

=> (x+2)(2x+3)(2x+3)