Question

If α and β are zeroes of the polynomial 3x^2 + 5x+ 2 .Find the value of 1/αand 1/β
please answer fast ​

Answer 1

Answer:

hey mate

the zeroes of this polynomial are

3x²+5x+2

3x²+3x+2x+2

(3x²+3x)+(2x+2)

3x(x+1)+2(x+1)

(3x+2)(x+1)

$1st \: zero \: \: 3x + 2 = 0 \\ 3x = - 2 \\ x = \frac{ - 2}{3}$

$2nd \: zero \: \: \: x + 1 = 0 \\ x = - 1$

$\alpha = \frac{ - 2}{3} \\ \beta = - 1$

$\frac{1}{ \alpha } = \frac{1}{ \frac{ - 2}{3} } = 1 \times \frac{ - 3}{2} = \frac{ - 3}{2}$

$\frac{1}{ \beta } = \frac{1}{ - 1} = - 1$

may help you dear...✌️❤️