find the quadratic polynomial, each with the given numbers as the sum and product of its zeroes respectively.

-√2, √3

# find the quadratic polynomial, each with the given numbers as the sum and product of its zeroes respectively.

### 1 thought on “find the quadratic polynomial, each with the given numbers as the sum and product of its zeroes respectively. <br />-√2, √3”

### Leave a Comment

You must be logged in to post a comment.

Answer:x^2 +root 2x + root 3

Step-by-step explanation:Let the zeroes of the polynomial be alpha and beta

alpha + beta = -root2 and alpha × beta = root 3

required polynomial is given by

x^2- (alpha +beta)x + alpha ×beta = x^2-(- root 2 )x + root 3 = x^2 + root 2x + root 3