Question

If α and β are the zeroes of the quadratic polynomial f(x)=x^2-2x+3, then find a quadratic polynomial whose zeroes are α+2 and β+2​

Answer 1

Answer:

pls mrk as brainlliest

Answer 2

Given x²-2x+3=f(x)

New roots: a+2, B+2.

Hence, put x as x-2 to get required polynomial:

$</p><p>Put \: x \rightarrow (x-2)\\(x-2)^2-2(x-2)+3=f(x)\\</p><p>f(x)=x^2-4x+4-2x+4+3\\</p><p>f(x)=x^2-6x+11$