How do you write y=2x2^-5x+2 without a table using the zero product property

 (x - 2) (2x - 1) = 0

Step-by-step explanation:

y = 2x² - 5x + 2

    2x² - 5x + 2  = 0                    a × c → 2 × 2 = 4

                                                                       ∧

                                                                    -1  -4 = -5  ← b

Rewrite the equation so that the b-value of -5x is replaced with -1x - 4x

2x² - 1x - 4x + 2 = 0

Divide the equation into two parts (2 terms on the left and 2 on the right)

2x² - 1x  ||  -4x + 2 = 0

Factor the left side and then factor the right side

x(2x - 1)  ||  -2(2x - 1)  = 0

Notice that the factor in parenthesis on the left side is the same as the factor in parenthesis on the right side.  

x(2x - 1)  ||  -2(2x - 1)  = 0

We can rewrite this to show the "outside" as a factor and the "parenthesis" as another factor.

(x - 2) (2x - 1) = 0

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step-by-step explanation:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.