If the zeroes of the polynomial + pr+qare double in value to the zeroe

1.	If the zeroes of the polynomial + pr+qare double in value to the zeroes of2r2-5x-3, Find the value of p and q.
Answer» 2x²-5x-3 = 2x²-6x+x-3 = 2x(x-3)+1(x-3) = (x-3)(2x+1) 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. Now, quadratic expression with zeros -1 and 6 is given by (x + 1)(x-6) = x²-5x-6. By comparison, p = -5 and q = -6

If the zeroes of the polynomial + pr+qare double in value to the zeroes of2r2-5x-3, Find the value of p and q.

Answer»

2x²-5x-3 = 2x²-6x+x-3 = 2x(x-3)+1(x-3) = (x-3)(2x+1)

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.

Now, quadratic expression with zeros -1 and 6 is given by

(x + 1)(x-6) = x²-5x-6. By comparison, p = -5 and q = -6