Verified answer

Step-by-step explanation:

2x

2

−5x−3=0

2x

2

−6x+x−3=0

(x−3)(2x+1)=0

x=3,−

2

1

Now,

Zeroes of the polynomial x

2

−px+q are double in values to the zeroes of polynomial 2x

2

−5x−3.

Therefore,

Zeroes of polynomial x

2

−px+q will be- 6,−1

Therefore,

Sum of roots =

a

−b

6+(−1)=−(−p)

⇒p=5

Product of root =

a

c

6×−1=q

⇒q=−6

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

Hence, the zeros of 2x²-5x-3 are -1/2 and 3. Zeros of the polynomial x²+px+q are double in value to -1/2 and 3, Thus zeros are -1 and 6.

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Answer:

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