Question

The quadratic polynomial with (-81) as product of zeros and sum of zeros as 24 is (A) x2 – 24x – 81 (B) x2 + 24x – 81 (C) x2 – 24x + 81 (D) x2 + 24x + 81

Answer 1

Given:

Let product αβ=-81

sum α+β=24

quadratic polynomial

= x²-(αβ)x+(α+β)

=x²-24x+(-81)

=x²-24x-81

The correct option is "a"

Hence the answer is x²-24x-81

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The quadratic polynomial with - 81 as product of zeros and sum of zeros as 24 is

(A) x² – 24x – 81

(B) x² + 24x – 81

(C) x² - 24x + 81

(D) x² + 24x + 81

CONCEPT TO BE IMPLEMENTED

If the Sum of zeroes and Product of the zeroes of a quadratic polynomial is given then the quadratic polynomial is

$\sf {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes$

EVALUATION

Here it is given that the quadratic polynomial is with - 81 as product of zeros and sum of zeros as 24

Sum of the zeroes = 24

Product of the zeros = - 81

Hence the required Quadratic polynomial

$\sf {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes$

$\sf = {x}^{2} -24x - 81$

FINAL ANSWER

Hence the correct option is (A) x² – 24x – 81

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. write a quadratic polynomial sum of whose zeroes is 2 and product is -8

https://brainly.in/question/25501039

2. The quadratic polynomial where α=5+2√6 and αβ=1 is

https://brainly.in/question/24697408