Math Standard 2024 - Class X Polynomials

If the sum of the zeroes of the polynomials p(x) = 2x² - k√2x + 1 is √2, then value of k is:

• √2

• 2

• 2√2

• 1/2

The zeros of the polynomial x² + px + q are twice the zeros of the polynomial 4x² - 5x - 6. Then the value of p is:

• -5/2

• 5/2

• -5

• 10

If the sum and product of the zeros of a quadratic polynomial are 2√3 and 3 respectively, then a quadratic polynomial is:

• x^2 + 2√3x - 3

• (x - √3)^2

• x^2 - 2√3x - 3

• x^2 + 2√3x + 3

If α and β are the zeros of the polynomial 5x^2 + 3x - 7, the value of 1/α + 1/β is

• -3/7

• 3/5

• 3/7

• -5/7

If α and β are the zeros of the polynomial -x^2 + 8x + 9, then (α - β) is equal to

• -10

• 10

• ±10

• 8

The zeros of the quadratic polynomial 2x^2 - 3x - 9 are

• 3, -3/2

• -3, -3/2

• -3, 3/2

• 3, 3/2

What should be subtracted from the polynomial x^2 - 16x + 30, so that 15 is the zero of the resulting polynomial?

• 30

• 14

• 15

• 16

What should be added to the polynomial x^2 - 5x + 4, so that 3 is the zero of the resulting polynomial?

• 1

• 2

• 4

• 5

If α and β are zeros of the polynomials 2x^2 - 9x + 5, then value of α^2 + β^2 is

• 1/4

• 61/4

• 1

• 71/4

If a polynomial p(x) is given by p(x) = x^2 - 5x + 6, the value of p(1) + p(4) is:

• 0

• 4

• 2

• -4