Question

formula to form a quadratic polynomial when sum and product of zeroes is given

Answer 1

the formula is x^2-(sum of the zeroes)x+(product of the zeroes)

Answer 2

Given:

Sum and product of the zeros of the equation.

Find:

Formula for the quadratic equation.

Solution:

1) A quadratic equation is an equation of degree 2, meaning that the highest exponent of the function is 2.

2) The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a cannot be 0.

3) Zeroes are the value of the variable which is given in the equation.

4) The relation between the zeroes and the coefficient of the equation is given below:

Sum of the zeroes = -b/a

Product of the zeroes = c/a

5) Formula to form the quadratic equation is

 x² - (sum of the zeroes )x + (product of the zeroes) = 0

 x² - (-b/a) x + c/a = 0 (multiply all the terms by a)

ax² + bx +c = 0