Polynomials

The zeroes of x²–2x –8 are:

• 2 and -4

• 4 and -2

• 2 and -2

• 4 and -4

What is the quadratic polynomial whose sum and the product of zeroes is √2, ⅓ respectively?

• 3x²-3√2x+1

• 3x²-3√2x-1

• 3x²+3√2x+1

• None of these

If the zeroes of the quadratic polynomial ax²+bx+c, c≠0 are equal, then

• c and b have opposite signs

• c and a have opposite signs

• c and b have same signs

• c and a have same signs

The degree of the polynomial, x⁴ – x² +2 is

• 2

• 4

• 1

• 0

If p(x) is a polynomial of degree one and p(a) = 0, then a is said to be:

• Zero of p(x)

• Value of p(x)

• Constant of p(x)

• None of these

Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is:

• Intersects x-axis

• Intersects y-axis

• Intersects x-axis and y-axis

• None of the above

A polynomial of degree n has:

• Only one zero

• More than n zeroes

• At least n zeroes

• At most n zeroes

The number of polynomials having zeroes as -2 and 5 is:

• 1

• 2

• 3

• More than 3

Zeroes of p(x) = x²-27 are:

• ±9√3

• ±√3

• ±3√3

• ±7√3

If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is

• 10

• -10

• 5

• -5