Divide the 4th degree polynomial

Mathematics

1 answer:

iragen [17]3 years ago

4 0

Answer:

quotient: 10x +16
remainder: 28x^2 +10x +22

Step-by-step explanation:

The attachment shows the steps.

quotient: 10x +16

remainder: 28x^2 +10x +22

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Polynomial long division is easier than numerical long division because you only need to examine the first terms to determine the quotient term.

The first quotient term is 10x^4/x^3 = 10x.

The second quotient term is 16x^3/x^3 = 16.

When the leading dividend term is lower degree than the divisor, that dividend is the remainder.

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Howard is designing a chair swing ride. The swing ropes are 4 44 meters long, and in full swing they tilt in an angle of 2 3 ∘ 2

qaws [65]

Question:

Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answer:

7.18 meters

Step-by-step explanation:

Given:

Length of rope, L = 4 m

Angle = 23°

Height of chair, H= 3.5 m

In this question, we are to asked to find the height of the pole of the swing ride.

Let X represent the height of the pole of the swing ride.

Let's first find the length of pole from the top of the swing ride. Thus, we have:

$cos \theta = \frac{h}{L}$