Question

If alpha and beta are the zeros of the quadratic polynomial fx = 2 x square - 4 x + 3 find the value of alpha 4 beta 2 + alpha square beta 4

Answer 1

Answer:

Step-by-step explanation:

p(x)= (x)^2-4x +3

Using relation -

1) alpha + beta = -b/a

=> alpha + beta =-(-4)/1

=> alpha + beta = 4-----(1)

2) alpha * beta =c/a

=> alpha * beta = 3------(2)

Comparing equation (1) and(2) we get to know that one of the zeros is 1 and the other is 3.

So

A.T.Q.

We need to find the quadratic polynomial for the zeros 3*1=3 and 3*3 =9

Using relation -

1) alpha + beta =-b/a. 1) alpha* beta=c/a

=>3+9=-b/a. =>3*9=c/a

=>12=-b/a. =>27=c/a

So we can take a as 1

Hence , b=-12 and c =27

So the polynomial is(x)^-12x+27

For more clarification please see the attachment☺