Question

2
10.If a and ß are the zeroes of a polynomial such that a + B = -6 and a
B=5then find the polynomial.
(2)​

Answer 1

so the sum is -6 and the product is 5

So, k(d²-(a+B)d+aB)

You can take any variable in place of d like x and y also

so k(d²-(-6)d+5)

so the polynomial will be d²+6d+5

hope it helps you

Mark as brainlist if it helps you

Answer 2

Step-by-step explanation:

Given:

i) α and β are two zeroes of a polynomial

ii) α + β = -6 ; αβ = 5

To find:

Polynomial

Solution:

We know that,

$\sf{Sum\:of\:Roots}$ = $\sf{\dfrac{-b}{a}}$

$\implies$ $\sf{Sum\:of\:Roots}$ = -6

⠀⠀⠀⠀⠀⠀

$\sf{Product\:of\:Roots}$ = $\sf{\dfrac{c}{a}}$

$\implies$ $\sf{Product\:of\:Roots}$ = 5

⠀⠀⠀⠀⠀⠀

a = coefficient of x²

b = coefficient of x

c = constant term

⠀⠀⠀⠀⠀⠀

Hence possible polynomial is x² + 6x + 5