The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0,
(A) cannot both be positive (B) cannot both be negative (C) are always unequal (D) are always equal
The zeroes of the quadratic polynomial x2 + 99x + 127 are
(A) both positive (B) both negative
(C) one positive and one negative (D) both equal
If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is –1, then the product of the other two zeroes is
(A) b – a + 1 (B) b – a – 1 (C) a – b + 1 (D) a – b –1
If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then
(A) a = –7, b = –1 (B) a = 5, b = –1 (C) a = 2, b = – 6 (D) a = 0, b = – 6
If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is
(A) 10 (B) –10 (C) 5 (D) –5
Show that one and only one out of n, n + 4, n + 8, n + 12 and n + 16 is divisible by 5, where n is any positive integer.