Question

what would be the relation between P and Q if zeros of a quadratic polynomial P X square + 2 X + Q are reciprocal of each other​

Answer 1

Answer:

P=Q

Step-by-step explanation:

let root of equation be A then other root will be 1/A

as product of root =A×1/A =constant /coffecient of x square

1=Q/P

Q=P

Answer 2

Step-by-step explanation:

first the quadratic polynomial is

p(X)= px2 + 2x +q

so let the first zero be let it be alpha and other is 1/ alpha

so the product of zeroes = coefficient of c/ coefficient of a

$\alpha \times 1 \div \alpha = c \div a$

a *1/a = q/p

now a and a be cut out

1=q/p

q=p is the answere