1.

Find the maximum value of -2x2 + 3x + 9.1. -57/82. -81/83. 57/84. 81/8

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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