Question

Find the zeros of the quadratic polynomial 4x^-4x-3 and verify the relation between its zeros and coefficient

Answer 1

I hope now you understand

Answer 2

Hey

Here is ur answer

P(x) = 4x2- 4x-3

By using splitting middle term method we get

4x2-6x+2x-3

=2x(2x-3)+ 1(2x-3)
=(2x+1)(2x-3) =0
x= -1/2 and x = 3/2

let alpha = -1/2 and beta = 3/2

Alpha + beta = -1/2+3/2
Alpha + beta = 2/2= 1 ➖ (1)

Now

- coefficient of x/coefficient of x2= -(-4)/4 = 1 ➖ (2)

From equation 1 and. 2

We get

Alpha + beta =. - coefficient of x/coefficient of x2

Now

Alpha*beta = -1/2*3/2= -3/4➖ 3

Constant term/coefficient of x2= -3/4 ➖ 4

From equation 3 and 4 we get

Alpha * beta = constant term/coefficient of x2

Hope it helps you