Question

Find the quadratic polynomial, given that
the sum and the product of its zeroes as
0, 5 respectively.
(A) X2 + 15 (B) x + 5
(C) x2 - 5 (D) x2 - 15x​

Answer 1

Option (C) x² - 5

To Find :-

• The quadratic polynomial.

Solution :-

Given,

• Sum of zeroes (α + β) = 0
• Product of zeroes (αβ) = 5

As we know that,

Quadratic polynomial ;

↪ x² - (α + β)x + αβ

[ Put the values ]

↪ x² - (0)x + 5

↪ x² - 5

Therefore,

The required quadratic polynomial is x² - 5.

For information :-

The value of determinant, we can define the nature of roots.

• If D = 0, the two roots are real and equal.

• If D > 0, the roots are real and unequal.

• If D < 0, the roots are not real, i.e. imaginary.

Answer 2

Answer:

correct answer or option is c