Question

Find the quadratic polynomial whose zero are 1 and -3 verify the relation between the cofficients and zeroes of the polynomial

Answer 1

Answer:

we know that the sum of zeroes =-b/a

given zeroes are 1 and -3

1-3=-b/a

-2=-b/a

b=2

product of zeroes =c/a

(1)(-3)=c/a

-3=c

we know the quadratic equation form=

$a { x}^{2} + bx + c \\ = { x}^{2} + 2x - 3$