Question

Find the quadratic polynomial, the sum of whose zero is - 5 and their product is 6.hence, find the zeeos of the polynomials

Answer 1

1. sum of zeroes =-5; product of zeroes=6
2. formula for Quadratic equation is K[x^2-x(sum of zeroes)+(product)]
3. Substituting the values we get
4. K[x^2-x(-5)+6]
5. K[x^2+5x+6]
6. If K=1,then the equation is
7. x^2+5x+6
8. if we factorize it ,we get
9. x^2+2x+3x+6
10. x(x+2)+3(x+2)
11. x+2=0 (or) x+3=0
12. therefore x=-2,-3
13. I hope you will understand well