8. Algebraic (a) Use long division to divide. Specify the quotient and the remainder. i. (6x225x25) (6x+5) ii. (x3 3x2+5x-6) (x-2) - (b) Use synthetic division to find the quotient. i. (x45x-3x - 13x+10)+(x+5) ii. (4x+2x34x+2x+2)+ (2x+1) - (c) Use synthetic division to determine the quotient involving a complex number. i. ii. 3+1 (d) Use the Remainder Theorem to find the remainder. i. (5x5 4x4 + 3x3 2x+x-1)(x+6) - - ii. (3x34x28x+2)+(x-3) (e) Use the Factor Theorem to find all real zeros for the given polynomial function and one factor. - i. f(x)=2x39x + 13x-6; x-1 ii. f(x) = -5x3 + 16x-9; x-3 (f) Use the Rational Zero Theorem to find all real zeros. i. x3 3x210x + 24 = 0 - ii. 42x39x22x+8=0 - (g) Find all complex solutions (real and non-real). i. x3x+x+1=0 ii. x+2x322x2 +50x75 = 0