Question

find a quadratic polynomials each with the given number as the sum and the product of its zeros respectively. (1) 0,2​

Answer 1

•a quadratic polynomial is in the form of ax^2+bx+c=0

•for finding a quadratic polynomial we use x^2-(@+B)+@*B

•a quadratic polynomial has highest degree that is 2

given

@+B=0

@*B=2

required polynomial p(x)=x^2-(@+B)x+@*B

p(x)=x^2-0x+2

p(x)=x^2+2

hence ans is x^2+2

Answer 2

Answer:

Step-by-step explanation:

Let the zeros be a and b

a+b=0

ab=2

K[x²-(a+b)x+ab]

K[x²-0*x+2]

K[x²+2]

The required quadratic polynomial is x²+2.

Hope it helps .