Question

16)Find a quadratic polynomial with the given numbers as the sum and product of its

zeros respectively 4 and 2. short questions​

Answer 1

Step-by-step explanation:

Refer above attachment

Answer 2

Answer:

x²+4x+2

Step-by-step explanation:

Let's alpha and beta be the zeroes of the polynomial..

alpha+beta=4

alpha×beta=2

As we know that:-

p(x)=k[x²+(sum of zeroes)x+(product of zeroes)]

=k[x²+(alpha+beta)x+(alpha×beta)]

=k(x²+4x+2)

=x²+4x+2

So the quadratic polynomial of sum of zeroes as 4 and product of zeroes as 2 is x²+4x+2.

And that's all your answer