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Find the maximum value of -2x2 + 3x + 9.1. -57/82. -81/83. 57/84. 81/8 |
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Answer» Correct Answer - Option 4 : 81/8 Given: The polynomial is -2x2 + 3x + 9 Formula Used: If polynomial ax2 + bx + c, then Min/Max value of polynomial = c – b2/4a Calculation: For polynomial -2x2 + 3x + 9 a = -2, b = 3, and c = 9 Maximum value of the polynomial = c – b2/4a ⇒ 9 – (3)2/4 × (-2) ⇒ (9 × 8 + 9)/8 ⇒ (72 + 9)/8 ⇒ 81/8 ∴ The maximum value of -2x2 + 3x + 9 is 81/8. |
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