Question

if p and q are zeros of polynomial f x is equal to 2 x square - 7 x + 3 then find the value of p square + Q square

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Solution :-

Given :-

Sum of roots = p +  q = - Coefficient of x/Coefficient of x²

= (- 7/2) = 7/2

And the product of roots = pq = Constant term/Coefficient of x²

= 3/2

Since, (p + q)² = p² + q² + 2pq

so, p² + q² = (p + q)² - 2pq

= (7/2)² - 3

= 49/4 - 3/1

= 37/4

Hence, the value of p² + q² = 37/4.