Question

form a quadratic polynomial p(x) with 3 and -2/5 as sum and product of its zeroes respectively . pls answer fast

Answer 1

hope it helps u.........

Answer 2

Answer:

Required Quadratic Polynomial, p(x) is k ( 5x² - 15x - 2 )

Step-by-step explanation:

Given:

Sum of zeroes = 3

Product of zeroes = -2/5

To find: Quadratic polynomial

We know that

If α and β are zeroes of the Quadratic polynomial, then the quadratic polynomial is k ( x² - ( α + β )x + αβ ) where k is any constant.

Here, α + β = 3  and  αβ = -2/5

The Required Quadratic Polynomial, p(x ) = k ( x² - (3)x + (-2/5) )

                                                            = k ( x² - 3x - 2/5 )

                                                            = k/5 ( 5x² - 15x - 2 )

                                                            = k ( 5x² - 15x - 2 )

Therefore, Required Quadratic Polynomial, p(x) is k ( 5x² - 15x - 2 )