Question

answer this question ​

Answer 1

Step-by-step explanation:

As we have given, one of the root of quadratic equation is 3 + √2,let the zeros of the quadratic equation are α and β

let us consider,

α = 3 + √2

Sum of zeros = 6

α + β = 6

(3 + √2 ) + β = 6

β = 6 - (3 + √2)

= 6 - 3 - √2

= 3 - √2

β = 3 - √2

we know the formula to making a quadratic equation,

x² - (α + β)x + (α . β )

x² - (6)x + ( 3 + √2)(3 - √2)

x² - 6x + ((3)² - (√2)²)

x² -6x + (9 - 2)

x² - 6x + 7

therefor , the quadratic polynomial is. x² - 6x + 7