Question

Find a quadratic polynomial each with the givennumbers as the zeros of the polynomials.(i) 23,–23

ONLY WITH EXPLAINATION

Answer 1

Step-by-step explanation:

this is the answer for tjat

Answer 2

Answer :-

→ x² - 529 = 0

To Find :-

→ Quadratic Equation for the given data.

Explanation :-

Given zeros are 23 and -23

We know that

→ x² - ( sum of zeros )x + product of zeros = 0

(•) Sum of zeros =23 + (-23) = 23 - 23 = 0

(•) product of zeros = 23× (-23) = -529

Hence required quadratic polynomial is -

→ x² - 0 - 529 = 0

→ x² - 529 = 0

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Verification :-

In this quadratic polynomial x² - 529 = 0

here,

• Sum of zeros = 0

• Product of zeros = -529

If we write it

→ x² = 529

then it has 2 roots

→ x² = (23)²

and ,

→ x² = (-23)²

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