Question

Form a quadratic polynomial whose zeros are 3+√2 and 3−√2

Answer 1

Given:

`\text{ Roots of quadratic polynomial are }3+√(2)\text{ and }3-√(2)`

Required:

Find quadratic equation.

Step-by-step explanation:

We can write it as

`\begin{gathered} =(x-(3+√(2)))(x+(-3+√(2))) \\ \text{ We can further write it as} \\ =(x-3-√(2))(x-3+√(2)) \\ =x^2-6x+7 \end{gathered}`

Answer:

`\text{ The given roots are roots of }x^2-6x+7`