Question

2. If A and B are the zeroes of the polynomial x² + 3x - 2, then find the value
of a^B3 + a3B2 ?​

Answer 1

Step-by-step explanation:

x² + 3x - 2

$\alpha + \beta = - 3$

$\alpha \times \beta = - 2$

$\ { \alpha }^{2} { \beta }^{3} + { \alpha }^{3} { \beta }^{2} \\ = { \alpha }^{2}{ \beta }^{2} ( \beta + \alpha ) \\ = {( - 2)}^{2} \times - 3 \\ = 4 \times - 3 \\ = - 12$