Question

if alpha and beta are the zeros of the polynomial P of x minus 3 x square - 12 x + 15 find the value of Alpha square plus beta square ​

Answer 1

SOLUTION:-

Let the alpha and beta value in the polynomial

3x^2 -12x +15=0 is p and q.

so we know, the sum of the roots or zeros of the polynomial is -b/a

so p+q= -b/a= -(-12)/3=4

the product of the roots or zeros of the polynomial is c/a.

so pq=15/3=5

Then p^2+q^2

=(p+q)^2 -2pq

=4^2 -2×5

=16 -10

=6

This the required answer.

Answer 2

Answer:

hey frnd here is your answer

Step-by-step explanation:

your equation is 3x²-12x+15

let the roots be x and y we want x²+y²

we know that x+y = -b/a = -(-12)/3 so x+y =4

and xy=c/a 15/3=5

x²+y²=(x+y)²-2xy

= (4)²-2(4

=8

so frnd your answer is 8

I hope u get your answer

thnx for asking

plzz mark as brainlist...