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8 June, 12:04

Consider the function f (x) = 3x2 + 7x + 2.

What is the value of the discriminant?

How many x-intercepts does this function have?

What are the number of zeros for this function?

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  1. 8 June, 15:50
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    The discriminant:

    D = b² - 4 a c = 7² - 4· 3 · 2 = 49 - 24 = 25

    D > 0 This function has 2 x-intercepts (2 zeroes).

    x 1 = (-7+5) / 6 = - 1/3

    x 2 = (-7-5) / 6 = - 2
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