Maths-
General
Easy
Question
Identify a linear polynomial.
- 1
- x + 2
- xy
- y2 + 5
Hint:
- A polynomial having degree or power of 1 is called linear polynomial.
The correct answer is: x + 2
- We have to identify the linear polynomial from the given four options in the question
Step 1 of 1:
A linear polynomial is defined as any polynomial expressed in the form of an equation of
.
From the option We can see that option B is in the form of ![p left parenthesis x right parenthesis equals a x plus b](data:image/png;base64,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)
So, Option B is correct.
Related Questions to study
Maths-
Find the value of x. Identify the theorem used to find the answer.
![](data:image/png;base64,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)
Find the value of x. Identify the theorem used to find the answer.
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)
Maths-General
Maths-
identify a cubic polynomial.
identify a cubic polynomial.
Maths-General
Maths-
Find the value of 𝑚 & 𝑛 to make a true statement.
(𝑚𝑥 + 𝑛𝑦)2 = 4𝑥2 + 12𝑥𝑦 + 9𝑦2
Find the value of 𝑚 & 𝑛 to make a true statement.
(𝑚𝑥 + 𝑛𝑦)2 = 4𝑥2 + 12𝑥𝑦 + 9𝑦2
Maths-General
Maths-
37. In an academic contest correct answers earn 12 points and incorrect answers lose 5
points. In the final round, school A starts with 165 points and gives the same number
of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied.
i)Which equation models the scoring in the final round and the outcome of the contest
A symbol (usually a letter) in algebra represents an unknown numerical value in an algebraic expression or an equation. A variable is a non-fixed quantity that can be changed. Variables are essential because they are a significant component of algebra.
¶ Different Types of Variables
¶Dependent Variables: The variables whose values are determined by another variable's quantity.
¶Unrelated Variables: The values of an independent variable in an algebraic equation are unaffected by changes. Suppose an algebraic equation has two variables, x and y, and each x value is related to any other y value. In that case, x is an independent variable, and y is a dependent variable.
37. In an academic contest correct answers earn 12 points and incorrect answers lose 5
points. In the final round, school A starts with 165 points and gives the same number
of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied.
i)Which equation models the scoring in the final round and the outcome of the contest
Maths-General
A symbol (usually a letter) in algebra represents an unknown numerical value in an algebraic expression or an equation. A variable is a non-fixed quantity that can be changed. Variables are essential because they are a significant component of algebra.
¶ Different Types of Variables
¶Dependent Variables: The variables whose values are determined by another variable's quantity.
¶Unrelated Variables: The values of an independent variable in an algebraic equation are unaffected by changes. Suppose an algebraic equation has two variables, x and y, and each x value is related to any other y value. In that case, x is an independent variable, and y is a dependent variable.
Maths-
Find the value of x. Identify the theorem used to find the answer.
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)
Find the value of x. Identify the theorem used to find the answer.
![](data:image/png;base64,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)
Maths-General
Maths-
Where is the circumcentre located in any right triangle? Write a coordinate proof of this result.
Where is the circumcentre located in any right triangle? Write a coordinate proof of this result.
Maths-General
Maths-
Ayush is choosing between two health clubs. Health club 1: Membership R s 22 and
Monthly fee R s 24.50. Health club 2: Membership R s 47.00 , monthly fee R s 18.25
. After how many months will the total cost for each health club be the same ?
Ayush is choosing between two health clubs. Health club 1: Membership R s 22 and
Monthly fee R s 24.50. Health club 2: Membership R s 47.00 , monthly fee R s 18.25
. After how many months will the total cost for each health club be the same ?
Maths-General
Maths-
Find the gradient and y- Intercept of the line ![x plus 2 y equals 14](data:image/png;base64,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)
Find the gradient and y- Intercept of the line ![x plus 2 y equals 14](data:image/png;base64,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)
Maths-General
Maths-
We can express any constant in the variable form without changing its value as
We can express any constant in the variable form without changing its value as
Maths-General
Maths-
x0 = ?
x0 = ?
Maths-General
Maths-
State and prove the Perpendicular Bisector Theorem.
State and prove the Perpendicular Bisector Theorem.
Maths-General
Maths-
What is a monomial? Explain with an example.
What is a monomial? Explain with an example.
Maths-General
Maths-
Find the equation of a line that passes through
and ![left parenthesis 2 comma negative 14 right parenthesis](data:image/png;base64,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)
Find the equation of a line that passes through
and ![left parenthesis 2 comma negative 14 right parenthesis](data:image/png;base64,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)
Maths-General
Maths-
The degree of 25x2y23 is
The degree of 25x2y23 is
Maths-General
Maths-
Ritu earns R s 680 in commission and is paid R s 10.25 per hour. Karina earns R s
410 in commissions and is paid R s 12.50 per hour. What will you find if you solve
for x in the equation 10.25x + 680 = 12.5x + 480
Ritu earns R s 680 in commission and is paid R s 10.25 per hour. Karina earns R s
410 in commissions and is paid R s 12.50 per hour. What will you find if you solve
for x in the equation 10.25x + 680 = 12.5x + 480
Maths-General