Factor the following:
2 x^3 + x^2 - 18 x - 9

Factor terms by grouping. 2 x^3 + x^2 - 18 x - 9 = (2 x^3 + x^2) + (-18 x - 9) = x^2 (2 x + 1) - 9 (2 x + 1):
x^2 (2 x + 1) - 9 (2 x + 1)

Factor 2 x + 1 from x^2 (2 x + 1) - 9 (2 x + 1):
(2 x + 1) (x^2 - 9)

x^2 - 9 = x^2 - 3^2:
(2 x + 1) (x^2 - 3^2)

Factor the difference of two squares. x^2 - 3^2 = (x - 3) (x + 3):

Answer: (x - 3) (x + 3) (2 x + 1) thus the Answer is C.

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3 years ago

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The partial blueprint of a house that includes 3 bedrooms is shown below. The scale is 2.75 inches : 3 feet. What is the actual

nordsb [41]

The partial blueprint of a house that includes 3 bedrooms is shown below. The scale is 2.75 inches : 3 feet. What is the actual length and width of Bedroom 3 in feet?

Bedroom 1 w=9.17; l= 11 in

Bedroom 2 w=7.33 in; l= 12.83

Bedroom 3 w= 11 in; l= 14.67 in

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2.75 inches : 3 or 2.75 in / 3 feet

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Can you see the updates?

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Bedroom 3 w= 11 in; l= 14.67 in

11 in * 3 feet / 2.75 in = 12 feet

14.67 in 3 feet / 2.75 in = 16 feet