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Find an expression for a quadratic polynomial having zeroes 3 and 4.

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$x ² - 7 x + 12$

$x ² - x + 12$

$x ² + x + 12$

$2 x ² + 2 x - 24$

answer is C.

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Detailed Solution

Let the given zeros be α = 3 and β = 4.

Sum of zeroes, α + β = 3 + 4 = 7

Product of Zeroes, αβ = 3 × 4 = 12

Therefore, the quadratic polynomial = x² – (sum of zeroes)x + (product of zeroes)

= x² – (α + β)x + (αβ)

= x² – (7)x + (12)

= x² – 7x + 12

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