Question

If the sum of the zeroes of the polynomial f (x) = px^2-4x+2p is same as their product, find the value of p

Answer 1

px square - 4x + 2p = 0

then zeroes of this equation α,β 

αβ = α+β 

2p/p = 4/p

2 = 4/p

p = 2

Answer 2

Answer:

The value of p is 2

Step-by-step explanation:

Given that the sum of the zeroes of the polynomial $f(x) = px^2-4x+2p$ is same as their product,

we have to find the value of p

$f(x) = px^2-4x+2p$

Let the zeroes of this equation α,β  

$\text{sum of zeroes=}\alpha+\beta=\frac{-b}{a}=\frac{4}{p}$

$\text{Product of zeroes=}\alpha.\beta=\frac{c}{a}=\frac{2p}{p}=2$

αβ = α+β  

$2 = \frac{4}{p}$

$p = 2$

Hence, the value of p is 2