Question

find the
product
quadratic polynomial whose sum and product
of the zeroes are 2 ound - 15 respectively​

Answer 1

Answer:

x² – 2x – 15

Solution:

• If A and B are the zeros of any quadratic polynomial, then it is given as ;

x² - (A+B)x + A•B

Here,

The sum of zeros of the required quadratic polynomial is 2 .

Thus ,

A + B = 2 --------(1)

Also,

The product of the zeros of the required quadratic polynomial is –15 .

Thus,

A•B = –15 --------(2)

Now,

The required quadratic polynomial will be given as; x² – (A+B)x + A•B

ie; x² – 2x + (–15)

ie; x² – 2x – 15

Hence,

The required quadratic polynomial is :

x² – 2x – 15 .