Question

Find a quadratic polynomial whose one zero is 5 + 17 and product of zeroes is 18​

Answer 1

Step-by-step explanation:

Hi !!!

This is your answer..

Given :----

It is given that one zero is 7.

Also, sum of zeroes is -18.

Let the zeroes be a and b.

So,

a + b = -18.

As a = 7.

So,

7 + b = -18

b = -25.

Hence, the two zeroes are 7 and -25.

Now, sum of zeroes....

a + b = -17

and ,,,,,

product of zeroes......

ab = -25×7 = -175.

Using The general formula of quadratic equations,

p(x) = kx² - (a+b)x + ab

Putting values............

p(x) = x² -(-18)x + (-175)

x² + 18x - 175 = 0.

Hence, the required polynomial is x² + 18x -175.

Hope it helps.....