Simplify using the horizontal method. (2n^2+4n+4)(4n-5)

1 answer:

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Your answer would be 8n³ + 6n² - 4n - 20.

The horizontal method for simplifying binomials is to simply multiply the terms in the first bracket by the terms in the second bracket. Written out, this looks like:

(2n² × 4n) + (4n × 4n) + (4 × 4n) + (2n² × -5) + (4n × -5) + (4 × -5).

Then, we just need to do the operations in the brackets, which gives us:

8n³ + 16n² + 16n - 10n² - 20n - 20

And finally we collect the like terms to simplify, which means doing 16n² - 10n² = 6n², and 16n - 20n = -4n, so the final answer is 8n³ + 6n² - 4n - 20.

I hope this helps!

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The graph is attached.

Step-by-step explanation:

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Using boundaries, the first bar would go from 0.5-3.5; the second from 3.5-6.5; the third from 6.5-9.5; the fourth from 9.5-12.5; the fifth from 12.5-15.5; the sixth from 15.5-18.5; the seventh from 18.5-21.5; and the eighth from 21.5-24.5.

The frequency of the first bar, its height, would be 1; the height of the second bar is 2; the height of the third bar is 3; the height of the fourth bar is 2; the height of the fifth bar is 3; the height of the sixth bar is 1; the height of the seventh bar is 1; and the height of the eighth bar is 1.