Question

if the sum of products of zeroes taken two at a time of polynomial p(x)=x³-4x²+cx-2 is 5, find the value of c.​

Answer 1

Step-by-step explanation:

-2 pls mark me as the brainlest

Answer 2

$let \: zeros \: be \: \alpha \: \beta \: \gamma$

According to question

$\alpha \beta \: + \beta \gamma + \gamma \alpha = \frac{c}{a}$

where a = 1 and c is c

then

$\alpha \beta + \beta \gamma + \gamma \alpha = \frac{c}{1}$

also value of

$\alpha \beta + \beta \gamma + \gamma \alpha = 5 \: is \: given$

so by replacing

αβ+βγ+γα with 5

we get

$5 = \frac{c}{1}$

then

$c = 5$

$\plz \mark \: as \: barinlisted$