Question

If alpha =p-q,beta =p-q,then the quadratic polynomials is

Answer 1

Answer:

Step-by-step explanation:

X^2-(Alpha + beta)x+(alpha ×beta)=polynomial equation

A+B=p-q+p-q=2p-2q

A×B=(p-q)^2

Put these value in above equation

Answer 2

Answer:

here,α=p-q and β=p-q

we know that,

α+β = -b/a

p-q+p-q = -b/a

2p-2q = -b/a.............(i)

αβ = c/a

(p-q)(p-q) = c/a

(p-q)² = c/a

p²+q²-2pq = c/a...............(ii)

comparing (i) and(ii),

a=1, b=2q-2p and c=p²+q²-2pq

General quadratic polynomial = ax²+bx+c

so required polynomial is x²+x(2q-2p)+p²+q²-2pq

=x²+2qx-2px+p²+q²-2pq

Step-by-step explanation: