Question

if alpha and beta are zeros of the polynomial t square - t - 4 form a quadratic polynomial whose zeros are 1 by Alpha and one by beta

Answer 1

Here is your answer I hope u got that......

Answer 2

given that

p(x) = tsquare-t-4

and also alpha and beta are zeroes

we know

• sum of zeroes=alpha +beta=-(-1)/1=1
• product of zeroes =alpha×beta=-4

for new polynomial

sum of zeroes=1/alpha+1/beta=beta×alpha/alpha×beta=1/-4

product of zeroes=1/alpha+1/beta=-1/4

therefore polynomial =xsquare +1/4x-1/4