Question

if alpha and beta are the zeroes of the quadratic polynomial ax2+bx+c..then evaluate aplha2beta+alphabeta2​

Answer 1

Step-by-step explanation:

ax²+bx+c is a quadratic polynomial

alpha and beta are zeroes of the above polynomial

Now ,

(Alpha)²Beta + Alpha (Beta )²

Alpha×Beta ( Alpha + Beta)

consider above expression as equation 1

we know that

Alpha + Beta = - b/a

Alpha × Beta = c/a

Now substitute above values in equation 1

Now,

c/a × -b/a

-bc/a² .

Thank you....

Answer 2

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