Find the quadratic polynomial whose sum of zeros is 2 and product of zeros is minus 8 find the zeros and coefficients
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Here is your answer,
Sum of zeroes = 2
Product of zeroes = -8
Quadratic polynomial = x² - (Sum of zeroes)x + product of zeroes
=x² - 2x - 8
finding zeros
x²-2x-8
x²+4x -2x-8
(x²+4x)(-2x-8)
x(x+4) -2(x+4)
(x+4)(x-2) is a factor
(X+4) = 0 (x-2) = 0
x = -4 x = 2
so x = -4,2 are zeros of this polynomial
coefficients of the polynomial x²-2x-8
x²coefficients = 1
x coefficients = -2
constant = -8
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