Question

If α and β are the zeros of the quadratic polynomial 4x²+4x+1, then form a quadratic polynomial whose zeros are 2α and 2β

Answer 1

Sum of the zeroes (SOZ) = -b/a

Product of zeroes (POZ) = c/a

SOZ= -4/4

= -1

POZ= 1/4

2α= -2

2β= 2/4=1/2

Formula:

x²-(α+β)x+αβ

x²+2x+1/2

2x²+2x+1