Question

If alpha and beta are zeros of the polynomial x square - 6 X + a find a is beta is -2

Answer 1

Answer:

a=-16

Step-by-step explanation:

If p and q are the zeros of of a quadratic equation ax^2+bx+c=0 then

p+q=(-b/a) and p*q=c/a

utilizing this we have

polynomial p(x)=1*x^2+(-6)*x+a=0

p+q=-(-6)/1=6

p*q=a/1

But given q=-2

so,p=(6-q)=6-(-2)=8

a=p*q=8*(-2)=-16