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Find the maximum value of –x2 – 8x + 7.1. 72. 133. 234. 3 |
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Answer» Correct Answer - Option 3 : 23 Given: The given polynomial is –x2 – 8x + 7 Formula used: For a given polynomial ax2 + bx + c Min/Max value of a polynomial = c – b2/4a or (4ac – b2)/4a Calculation: For polynomial –x2 – 8x + 7, Value of a = –1, b = –8, and c = 7 Maximum value of the polynomial = c – b2/4a ⇒ Maximum value of the polynomial = 7 – (–8)2/(4 × (–1) ⇒ Maximum value of the polynomial = 7 + 64/4 ⇒ Maximum value of the polynomial = 7 + 16 ∴ Maximum value of –x2 – 8x + 7 is 23 |
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