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Questions
Find the zeroes of the quadratic polynomial `f(x) = 4sqrt(3)x^2 + 5x - 2sqrt(3)`.
Write the zeros of the quadratic polynomial `f(x) = 4sqrt(3)x^2 + 5x - 2sqrt(3)`.
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Solution
To find the zeroes of the quadratic polynomial we will equate f(x) to 0
∴ f(x) = 0
⇒ `4sqrt(3)x^2 + 5x - 2sqrt(3) = 0`
⇒ `4sqrt(3)x^2 + 8x - 3x - 2sqrt(3) = 0`
⇒ `4x(sqrt(3)x + 2) - sqrt(3)(sqrt(3)x + 2) = 0`
⇒ `(sqrt(3)x + 2) = 0` or `(4x - sqrt(3)) = 0`
⇒ `x = -2/sqrt(3)` or `x = sqrt(3)/4`
Hence, the zeroes of the quadratic polynomial `f(x) = 4sqrt(3)x^2 + 5x - 2sqrt(3)` are `-2/sqrt(3)` or `sqrt(3)/4`.
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