Question

the sum and product of zeroes of a quadratic polynomial are -1 and -6 respectively. All the qadratic polynomial are given by.. >a k(x^2-x-6)
>b k(x^2+x-6) >c k(x^2+x+6) >d k(x^2-7x+6)​

Answer 1

Answer:

Sum=a+b=-1

product=a.b=-6

p(x) =ax²+bx+C

we know that:

p(x) =x²-sum of zeros. x+product

=x²-(-1) x+(-6)

=x²+x-6

sum of zeros=-b/a

-1=-b/a

a=b

also,

product of zeros=c/a

-6=c/a

c=-6a

let k=a=b

or,

eq=p(x) =kx²+kx-6k

or, p(x) =k(x²+x-6)

hence, option C is correct