Polynomial Graded

Graph of a quadratic polynomial is a

• straight line

• circle

• parabola

• ellipse

If 1 is a zero of the polynomial p(x) = ax² – 3(a – 1) x – 1, then find the value of a.

• 1

• 0

• 2

• 3

If α and β are zeroes of the quadratic polynomial x² – 6x + a; find the value of ‘a’ if 3α + 2β = 20.

• 8

• -2

• -16

• 16

Using division algorithm, find the quotient on dividing f(x) by g(x), where f(x) = 6x³ + 13x² + x – 2 and g(x) = 2x + 1

• 3x²+5x-2

• 3x²-5x+2

• 3x²+5x+2

• none of the above

If one zero of the polynomial (a² + 9) x² + 13x + 6a is reciprocal of the other, find the value of ‘a’.

• 3

• -3

• 2

• 0

What is the number of zeroes of the polynomial y = p(x)?

• 3

• 2

• 1

• 0

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