Question

. If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then find the
polynomial.

Answer 1

Answer:

use formula

x2-(a+b)x+ab=0

Answer 2

Answer:

$x^{2} +6x+5$

Step-by-step explanation:

Given:

$\alpha +\beta =-6\\\alpha \beta =5$

To find:

Quadratic Polynomial.

Solution:

To find quadratic polynomial,

$=x^{2} -(\alpha +\beta )x +\alpha \beta \\=x^{2} -(-6)x + 5\\= x^{2} +6x+5$

Therefore, the quadratic polynomial is $x^{2} +6x+5$

Hope it helps☺️☺️☺️...