Question

if p and q are zeroes of the quadratic polynomal 2x2+2(m+n)x+m2+n2 form the quadratic polynomial whose zeroes are (p2+q2)and (p2-q2)

Answer 1

Step-by-step explanation:

P(x) = x² +mx + n²

Sum of zeroes p+q = - m ……. (1)

Product of zeroes = pq = n² ……. (2)

TO FIND: p² + pq + q²

= ( p+q)² - pq

=> (-m)² - n²

= m² - n²