Question

find out thesum of zeros and product of zeros of p(x)=xcube-3xsquare+5x-3?​

Answer 1

Answer:

p(x) = x³ - 3x² + 5x - 3

On comparing it with the standard form of cubic polynomial, ax³ + bx² + cx + d = 0, we get ;

a = 1, b = -3, c = 5, d = -3

We Know that;

Sum of zeroes = -b/a

⇒ α + β + γ = - (-3)/1

⇒ α + β + γ = 3

Product of zeroes = c/a

⇒ αβγ = 5

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