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What is the discriminant of the polynomial below?2x2 + 5x - 8A.-39B.31C.-59D.89SUBMITarrow_backPREVIOUS

Question

What is the discriminant of the polynomial below?

2x2+5x8 2x^2 + 5x - 8

A. -39
B. 31
C. -59
D. 89

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Solution

The discriminant of a quadratic equation ax² + bx + c is given by the formula D = b² - 4ac.

In this case, a = 2, b = 5, and c = -8.

Substituting these values into the formula, we get:

D = (5)² - 4*(2)*(-8) D = 25 - (-64) D = 25 + 64 D = 89

So, the discriminant of the polynomial 2x² + 5x - 8 is 89. Therefore, the correct answer is D.89.

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