Question

Find the zeros of quadratic polynomial 3x2 +5x-2 and verify the relations between zeros and cofficients​

Answer 1

Answer:

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Answer 2

Answer:

-2, 1/3

Step-by-step explanation:

f(x) = 3x² + 5x - 2

Using quadratic formula,

x = [-5 ± √((5)² - 4(3)(-2))] ÷ [2(3)] = [-5 ± √49]/6 = (-5 ± 7)/6

x = -5 - 7/6 or -5 + 7/6 = -12/6 or 2/6 = -2 or 1/3

Thus. the zeroes of f(x) are -2 and 1/3

Relationship between zeroes and coefficients:-

Sum of zeroes = 1/3 - 2 = 1-6/3 = -5/3

-b/a = -5/3

Product of zeroes = -2 * 1/3 = -2/3

c/a = -2/3

Hence verified.