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love history [14]
2 years ago
7

One factor of the polynomial 6x3 − x2 + 8x + 5 is (2x + 1). What is the other factor of the polynomial? (Note: Use long division

.)
Mathematics
2 answers:
Verizon [17]2 years ago
6 0

Answer: (3x2 − 2x + 5)

Step-by-step explanation:

maria [59]2 years ago
4 0

Answer:

(3x^2 - 2x + 5)

Step-by-step explanation:

3x^2 - 2x + 5

2x + 1 \sqrt{6 {x}^{3}  -  {x}^{2}  + 8x + 5  }

- <u>(6x^3 + 3x^2)</u>

-4x^2 +8x +5

- <u>(-4x^2 - 2x)</u>

10x + 5

-(<u>10x + 5)</u>

00

(2x+1) (3x^2 - 2x + 5) = 6x^3 - x^2 + 8x + 5

Therefore the other factor of the polynomial is (3x^2 - 2x + 5)

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Pls help find shaded area
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<h3>Exact area = 12pi - 9*sqrt(3)  square inches</h3><h3>Approximate area = 22.1106545749577 square inches</h3>

==========================================================

Work Shown:

Assuming the chord is horizontal along with the diameter, then this means the two smallest minor arcs are both 30 degrees each. This leaves the northern most arc to be 180-30-30 = 120 degrees in measure

A = area of northern sector (you can think of it as a pizza slize)

A = (angle/360)*pi*r^2

A = (120/360)*pi*6^2

A = 12pi

B = area of triangle

B = (1/2)*side1*side2*sin(included angle)

B = (1/2)*6*6*sin(120)

B = 18*sqrt(3)/2

B = 9*sqrt(3)

C = area of shaded region

C = A - B

C = 12pi - 9*sqrt(3)  .... exact area

C = 22.1106545749577 ... use a calculator to get the approximate area

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