Question

Find a quadratic polynomial whose sum of the zeroes is 6 and one of the zero is 3 -√5

Answer 1

Answer:

answer for the given problem is given

Answer 2

Answer: The quadratic polynomials will be of form k(x² - 6x + 4) ; k ≠ 0

Step-by-step explanation:

Zeroes refers to value of variable at which the given functions attains zero output.

Zeroes are also known as roots.

A polynomial of degree 2 is called a quadratic polynomial. It has 2 zeroes.

Let the quadratic polynomial be p(x).

Let the other zero be z.

Sum of zeroes = z + 3 - √5

Given :

Sum of zeroes = 6

∴ z + 3 - √5 = 6

⇒  z  =  3 + √5

Quadratic polynomials with zeroes (3 +√5) and (3 -√5) are given by :

p(x) = k(x-(3 +√5))(x - (3 -√5)) ; k ≠ 0

p(x) = k(x² - 6x + 4) ; k ≠ 0

Examples of such polynomials:

At k = 1,

p(x) = x² - 6x + 4

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