Question

if alpha and beta are the zeros of the polynomial f of x is equal to X square + PX + Q then a polynomial having one by Alpha and one by beta as its zero is- ​

Answer 1

Answer:

qx2−px+1

If the polynomial f(x)=x2−px+q has the roots as α and β.

Then the equation having the roots as α1 and β1 is f(x1).

⇒ f(x1)=(x21)−p(x1)+q

⇒ f(x1)=qx2−px+1.

Therefore the equation having α1 and β1 as roots is qx2−px+1.

Step-by-step explanation:

please mark me as brainliest