Question

The quadratic polynomial if zeroes are ✓3,-✓3 is
a)xsquare+3
b) xsquare-3

Answer 1

Answer:

x^2-3

Step-by-step explanation:

quadratic ploynomial = (x-1st root)(x- 2nd root)=(x-√3)(x+√3)=x^2-3

Answer 2

Answer:

Form the polynomial whose zeroes are 3 + √3 , 3 - √3.

Step-by-step explanation:

The zeroes are 3 + √3 and 3 - √3. ∴ Sum of the zeroes = ( 3 + √3) + ( 3 - √3) = 6

∴ Product of the zeroes = ( 3 + √3) ( 3 - √3) = 9 - (√3)²

= 9 - 3 = 6

The required polynomial is

x² - (sum of the zeroes) x + Product of the zeroes ⇒ x² - (6)x + 6

∴ x² - 6x + 6