10th cbse ch 2 polynomials

The zeroes of the quadratic polynomial x² + 99x + 127 are

• both positive

• both negative

• one positive and one negative

• both equal

If the zeroes of the quadratic polynomial x² + bx + c , c ≠ 0are equal, then

• c and a have opposite signs

• c and b have opposite signs

• c and a have the same sign

• c and b have the same sign

The number of polynomials having zeroes as –2 and 5 is

• 1

• 2

• 3

• more than 3

The degree of the polynomial (x + 1)(x² – x – x⁴ +1) is

• 2

• 3

• 4

• 5

If the zeroes of the quadratic polynomial x² + (a + 1)x + b are 2 and –3, then

• a = –7, b = –1

• a = 5, b = –1

• a = 2, b = – 6

• a = 0, b = – 6

Given that one of the zeroes of the cubic polynomial ax³ + bx² + cx + d is zero, the product of the other two zeroes is

• –c/a

• c/a

• 0

• 3

If one of the zeroes of the cubic polynomial x³ + ax² + bx + c is –1, then the

Product of the other two zeroes is

• b – a + 1

• b – a – 1

• a – b + 1

• a – b –1

If one of the zeroes of the quadratic polynomial (k – 1)x² + kx + 1 is –3, then the value of k is

• 4/3

• – 4/3

• 2/3

• – 2/3

The value of p for which the polynomial x³ + 4x² –px + 8 is exactly divisible by (x – 2) is

• 0

• 3

• 5

• 16

If sum of the squares of zeroes of the quadratic polynomial 6x² + x + k is 25/36, the value of k is

• 4

• - 4

• 2

• -2