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aksik [14]
3 years ago
7

Find the remainder when f(x) = x^3 + 14x^2 − 7x − 10 is divided by x − 3.

Mathematics
1 answer:
Elanso [62]3 years ago
6 0

Answer:

122

Step-by-step explanation:

(3)³ + 14(3²) - 7(3) - 10

122

Used remainder theorem

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7

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(+8)-(-4)+(-5)

8+4-5

12-5

7

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Given circle and circle with radii of 6cm and 4cm respectively.
noname [10]

Solution :

Given that :

The radius of circle A = 6 cm

The radius of circle C = 4 cm

In circle A

\angle EAF = \theta = 140^\circ

The length of arc EF = $2 \pi r \times \frac{\theta}{360^\circ}$

                                   $=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$

                                    = 14.653 cm

In circle C

\angle GCH = \theta = 140^\circ

The length of arc GH = $2 \pi r \times \frac{\theta}{360^\circ}$

                                   $=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$

                                    = 9.769 cm    

Therefore,

The length of EF is 14.653 cm

The length of GH is 9.769 cm

The length of EF is  1.5 times the length of GH

i.e.                   14.653  = 1.5 x 9.769

                       14.653 = 14.653

Hence proved.

                             

6 0
3 years ago
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