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The polynomial to be subtracted is derived from the multiplication of the first term of the quotient and is given as: x³ + 2x²
<h3>What are polynomials?</h3>
Polynomials are mathematical expressions consisting of variables, constants and exponents, which are combined using mathematical operations such as addition, subtraction, multiplication and division.
The long division is as follows:
(x³ + 3x² + x) ÷ x + 2
The first quotient will be x².
Multiplying (x + 2) and x² gives the polynomial to be subtracted from the dividend.
(x + 2)×(x²) = x³ + 2x²
Therefore, the polynomial to be subtracted is x³ + 2x².
Learn more about polynomials at: brainly.com/question/497625
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Constants : 1 (the only constant term is 2)
Variables : 2 (x and y)
Terms : 3 ( x, y and 2)
Degree of term : 1
Answer:
Yes, the conditions for inference are met
Step-by-step explanation:
Conditions for inference:
To build a confidence interval for a population proportion, the sample must have at least 10 successes and 10 failures.
In this question:
50 cars, 11 have damage and 50 - 11 = 39 do not.
Since both the number of sucesses and of failures is above 10, conditions for inference are met.
Answer:
The length of the ladder is 9.2 meters
Step-by-step explanation:
Given as :
The angels of elevation of a ladder against a wall = 60°
The Distance of the foot of the ladder fro the wall = d = 4.6 meters
Let The length of the ladder = h meters
<u>Now, According to question</u>
cos angle = 
Or, cos 60° = 
Or, 0.5 = 
∴ h = 
i.e h = 9.2
So,The length of the ladder = h = 9.2 meters
Hence The length of the ladder is 9.2 meters Answer
