5. Determine the remainder if the polynomial defined by P(x) = 3x + 6x + by (x + 2). a) -100 c) 116 b) 100 d) -116 6. Which is NOT a root of the polynomial P(x) = x - 19x - 30? a) -2 c) 3 b) -3 d) 5 - - 7. Given that (x - 3) is a factor of the polynomial P(x) = x3 + 6x2 - 13x - 42, what are the other two factors? a) (x + 2) and (x + 7) c) (x + 2) and (x + 3) b) (x + 1) and (x + 7) d) (x + 2) and (x + 9) When P(x) is divided by (x - 2), the quotient is 2x3 + 9x2 + 10x + 3 and the remainder is 3. Find the polynomial P(x). a) 2x3 + 5x2 - 8x - 23 c) 2x4 + 5x3 - 8x2 - 17x - 3 b) 2x3 + 5x2 - 8x + 17 d) 2x4 + 5x3 – 8x + 23 - - - Find the value of k so that (x - 2) is a factor of 2x3 – kx - 3 = 0 a) 13/2 b) -13/2 c) -13 d) 13 When P(x) = 2x3 - 7x2 +k is divided by (x - 5) the remainder is 3, what is k? a) 72 b) -72 C) 75 d) -75 13​