Question

Find the quadratic polynomial whose zeroes are 2 + ✓3 and 2 – ✓3 .​

Answer 1

The zeros are 2+ 3 and 2− 3

Let the quadratic polynomial be (x−r1 )(x−r 2) where r1 and r2 are the zeros of the polynomial.

Thus the polynomial is

[x−(2+√3 )][x−(2−√3 )]

=(x−2− √3)(x−2+ √3)

=(x^2 −2x+ √3x−2x+4−2√3 − √3x+2√3−3)

=x^2 −4x+1

Answer 2

Step-by-step explanation:

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