Question

The degree of polynomial having zeroes – 3 and 4 only is
(A) 2
(B) 1
(C) more than 3
(D) 3​

Answer 1

the correct answer is 1

Answer 2

Given:

Let the roots of zeroes of polynomial = α and β

α = - 3 and β = 4

To find, the degree of polynomial having zeroes - 3 and 4.

Solution:

We know that:

The polynomial is:

$x^{2}$ - (α + β)x + αβ

∴ The polynomial having zeroes - 3 and 4.

= $x^{2}$ - (- 3 + 4)x + (- 3)4

= $x^{2}$ - (1)x - 12

= $x^{2}$ - x - 12, the polynomial having degree 2.

Thus, the required "option A) 2" is correct.