Question

quadratic polynomial in which sum of zeros is 0 and one zero is 3 ??​

Answer 1

Solution:

We can easily find a quadratic equation when we have got sum of zeroes and product of zeroes. Sum is already and one of its zeroes is given. We can find the another zero and the product to get the quadratic equation.

• Sum of zeroes = 0
• One of the zeroes = 3

Let the other zero be m,

Then, According to question:

➝ Sum of zeroes = 0

➝ First zero + second zero = 0

➝ 3 + m = 0

➝ m = -3

Then product of zeroes = 3(-3) = -9

Now we have got both of them, So the required relation to find the Quadratic equation is:

• x² - (sum of zeroes)x + product of zeroes

Plugging the required values,

➝ x² - 0x + (-9)

➝ x² - 9

Thus, the required quadratic equation is x² - 9 (Ans)

Generally, when the zeroes are equal in magnitude and opposite in sign, the quadratic equation formed lacks the term with x.

And we are done !$!$

Answer 2

Answer:

Please refer the attached picture.

Step-by-step explanation:

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