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in Polynomials by (44.3k points)

Write the zeros of the quadratic polynomial f(x) = 4√3x2 + 5x ‒ 2√3.

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f(x) = 4√3x2 + 5x ‒ 2√3

To find the zeros of the quadratic polynomial, put f(x) = 0

4√3x2 + 5x ‒ 2√3 = 0

4√3 x2 + 8x – 3x – 2√3 = 0

4x (√3 x + 2) – √3 (√3 x + 2) = 0

(4x – √3) (√3 x + 2) = 0

Either (√3 x + 2) = 0 or (4x – √3) = 0

x = -2/√3 or x = √3/4

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