Question

If the zeroes of the polynomial

ଶ + + are double in value to the zeroes of 2

ଶ − 5 − 3, find the value of

and .​

Answer 1

Answer:

2x2−5x−3=0

2x2−6x+x−3=0

(x−3)(2x+1)=0

x=3,−21

Now,

Zeroes of the polynomial x2−px+q are double in values to the zeroes of polynomial 2x2−5x−3.

Therefore,

Zeroes of polynomial x2−px+q will be- 6,−1

Therefore,

Sum of roots =a−b

6+(−1)=−(−p)

⇒p=5

Product of root =ac

6×−1=q

⇒q=−6

Hence the values of p and q are 5 and −6 respectively.