Polynomials and Zeroes

Factorize the polynomial: 2x^2 + 5x - 3

• (2x + 3)(x - 1)

• (2x - 3)(x + 1)

• (2x - 1)(x + 3)

• (2x + 1)(x - 3)

If the product of zeroes of the polynomial x^2 - 3x + k is 2, find k.

• 8

• 6

• 10

• 2

Find the zeroes of the polynomial x^2 - 4x - 5.

• x = 2 and x = -5

• x = 3 and x = -2

• The zeroes are x = 5 and x = -1.

• x = 6 and x = -3

What is the relation between the zeroes and coefficients of a quadratic polynomial ax^2 + bx + c = 0?

• The sum of the zeroes is c/a and the product of the zeroes is -b/a.

• The sum of the zeroes is -c/a and the product of the zeroes is b/a.

• The sum of the zeroes is -b/a and the product of the zeroes is c/a.

• The sum of the zeroes is a/b and the product of the zeroes is -c/a.

Factorize the polynomial: 3x^2 - 7x + 2

• (3x - 1)(x + 2)

• (3x + 1)(x - 2)

• (3x - 1)(x - 2)

• (3x + 1)(x + 2)

If one zero of the polynomial 2x^2 - 5x - 3 is -1, find the other zero.

• -7/2

• 7/2

• 3/2

• 5/2

Find the zeroes of the polynomial 4x^2 - 12x + 9.

• -3/2

• 2/3

• 1/2

• 3/2

Factorize the polynomial: x^2 + 6x + 9

• (x + 2)^2

• (x + 3)^2

• (x + 4)^2

• (x + 5)^2

If the zeroes of the polynomial x^2 - 2x - 8 are a and b, find the value of a + b.

• -2

• 2

• 4

• 6

Explain the relation between the zeroes and co-efficients of a quadratic polynomial