Q. 43.8( 28 Votes )
Find the condition that the zeros of the polynomial may be in A.P.
Let are the zeros of the given polynomial.
Sum of the zeros =
Since is the zero of the polynomial, therefore⇒ f(a) = a3 + 3pa2 + 3qa + r = 0
⇒ a3 + 3pa2 + 3qa + r = 0
=, we get
⇒ -p3 + 3p3 - 3pq + r = 0
⇒ 2p3 - 3pq + r = 0
Rate this question :
Find the quadratic polynomial whose zeroes are square of the zeroes of the polynomial x2 – x – 1.KC Sinha - Mathematics
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively:
KC Sinha - Mathematics
If the product of zeroes of the polynomial α2 – 6x – 6 is 4, find the value of a.KC Sinha - Mathematics