Question

For any polynomial axsquare+ bx+c sum of zeroes is?

Answer 1

Given:

• A quadratic polynomial is given to us.
• The polynomial is ax² + bx + c.

To Find:

• The sum of zeroes of the polynomial.

Answer:

Now here we are given a quadratic polynomial which is in standard form ax²+bx+c .

For finding zeroes we will have to equate it with 0 .

=> ax² + bx + c = 0

By Sreedhacharya's formula we know that of a quadratic polynomial of ax²+bx+c , zeroes can be finded by formula :

→ - b ± √b² - 4ac / 2a

Note : This can be derived by the method of completing square.

So , its two zeroes will be

• - b + √b² - 4ac / 2a
• - b -√ b² - 4ac / 2a .

On adding the zeroes ,

=> Sum = -b + √b² - 4ac / 2a +(- b -√ b² - 4ac / 2a )

=> Sum = - b - b / 2a.

=> Sum = -2b/2a

=> Sum = - b/a.

Hence the sum of zeroes is -b/a.

Answer 2

Answer:

coefficient of x

- -----------------------

coefficient of x^2

Step-by-step explanation:

negative of the coefficient of x by the coefficient of x^2