Question

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

Answer 1

Answer:

6

Step-by-step explanation:

a=3, b= -12, c=15

since alpha and beta are zeroes

alpha+beta= -b/a = 4

alpha × beta = c/a = 5

$\alpha { }^{2} + \beta {}^{2} = ( \alpha + \beta ) {}^{2} - 2 \alpha \beta$

=4×4 -2×5

=16-10

=6