Question

Sum of the zeros polynomial the zeros of x²+ 2x+1 is ?
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Answer 1

Answer:

sum of zeroes of quadratic polynomial (ax^2+bx+c) = -b/a

Step-by-step explanation:

answer will be -2

Answer 2

Answer:

a and b are the zeroes of the polynomial x^2+2x+1. Hence, a+b = -2 and ab = 1………..(1)

Sum of the new zeroes = a^2b+ab^2

= ab(a+b) = 1(-2) = = -2

Product of the new zeroes = (a^2b)(ab^2) = a^3b^3 = (ab)^3 = 1^3 = 1

Hence the polynomial whose zeroes are a^2b and ab^2 is x^2 - (sum of the zeroes) x + product of the zeroes = x^2+2x+1.

Step-by-step explanation:

I hope this answer may be helpful for you!