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3 years ago

PLEASE HELP ME!!!!!!!!!!

Mathematics

1 answer:

Blizzard [7]3 years ago

6 0

Answer:

the first one: y=2x ²-1

Step-by-step explanation:

Plug in the "x" to the equation, so: 2(2) ²-1 = 7 which is "y" in the table above.

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Step-by-step explanation:

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Find the polynomial of minimum degree, with real coefficients, zeros at x=4±2⋅i and x=−8, and y-intercept at −480. Write your an

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Answer:

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Step-by-step explanation:

According to the statement, we appreciate that polynomial pass through the following points:

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$p(x) = (x^{2}-4\cdot x-2\,i\cdot x-4\cdot x +16+8\,i+2\,i\cdot x-8\,i+4)\cdot (x+8)\cdot (x-r_{1})$

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$p(x) = (x^{3}-8\cdot x^{2}+20\cdot x +8\cdot x^{2}-64\cdot x+160)\cdot (x-r_{1})$

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$-160\cdot r_{1} = -480$

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$p(x) = (x^{3}-44\cdot x +160)\cdot (x-3)$

$p(x) = x^{4}-44\cdot x^{2}+160\cdot x-3\cdot x^{3}+132\cdot x -480$

$p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

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