Question

If  and  are zeroes of polynomial 6x2 – 7x – 3, then form a quadratic polynomial where zeroes are 2 and 2

Answer 1

Answer:

Step-by-step explanation:

P(x)=6x2-7x-3

Zeroes=alpha(a) and beta(b)

Sum =a+b=+7/6-------------1

Prdt =ab=-3/6=-1/2--------2

Zeroes=2alpha and 2beta

Sum=2a+2b=2(a+b)=2*7/6=7/3 (from 1&2)

Prdt=2a*2b=4*ab=4*-1/2=-2

Therefore,

Polynomial is ,

k(x2-(7/3)x-2)=0

3x2-7x-2=0