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Pachacha [2.7K]
3 years ago
11

Find the quotient and the remainder. 9x^4 - x^2 + 2x + 9 divided by x^2 + 8 Use polynomial long division

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Step-by-step explanation:

Solution

Given:

9x4−4x2+4 divided by 3x2−4x+2

To find:

Quotient and remainder

Solution:

Consider,

                           3x2+4x+2

3x2−4x+2 )9x4−4x2+4

                          9x4+6x2−12x3

                                    12x3−10x2+4

                                    12x3−16x2+8x

                                               6x2−8x+4

                                               6x2−8x+4

                                                               0

From the above long division,

Quotient=3x2+4x+2

Remainder=0

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Eva8 [605]
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3 years ago
Find the exact circumference of a circle with a diameter of 5 inches
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3 years ago
A builder makes drainpipes that drop 1 cm over a
LUCKY_DIMON [66]

Answer:

700.4 cm

Step-by-step explanation:

This involves two similar triangles.

Both triangles are right triangles.

One has legs measuring 1 cm and 30 cm. We can find the hypotenuse by using the Pythagorean theorem.

(1 cm)^2 + (30 cm)^2 = c^2

c^2 = 901 cm^2

c = sqrt(901) cm

The second triangle has one leg with length 700 cm. This leg corresponds to the 30-cm leg in the other triangle. Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.

(30 cm)/(700 cm) = [sqrt(901) cm]/x

3/70 = sqrt(901) cm/x

3x = 70 * sqrt(901) cm

x = 70 * sqrt(901) cm/3

x = 700.4 cm

Answer: 700.4 cm

8 0
3 years ago
Read 2 more answers
What is this answer???
wlad13 [49]

Answer:

∠ ABC = 116°

Step-by-step explanation:

Since the angles are supplementary, they sum to 180° , that is

8x - 36 + 4x - 12 = 180

12x - 48 = 180 ( add 48 to both sides )

12x = 228 ( divide both sides by 12 )

x = 19

Then

∠ ABC = 8x - 36 = 8(19) - 36 = 152 - 36 = 116°

5 0
2 years ago
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