Question

find the quadratic polynomial whose zeroes are 2+√3 and 2-√3.

Answer 1

HEY YOUR ANSWER IS ....................


It is given that the zeros of the quadratic polynomial is 2+√3 and 2-√3 .

Sum of zeros = (2+√3+2-√3) = 4 .

Product of zeros = (2+√3)(2-√3)
= (2)^2 - (√3)^2
= 4 -3 = 1

New polynomial ,

P(x) = x^2 - ( sum of zeros ) x + ( product of zeros )

= x^2-4x+1

Hope it Helps .....

Thanks .....

By Alia .....

Answer 2

Answer:

$x {}^{2} - 4x + 1$

Step-by-step explanation:

sum of zeros =

$(2 + \sqrt{3} ) + (2 - \sqrt{3} ) = 4$

product of zeros

$(2+3)(2−3)=4 - 3 = 1$

equation

${x}^{2} - 4x + 4 - 3$

${x}^{2} - 4x + 1$

Hope it helps you❤