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DSSSB TGT Linearpolynomials — practice questions

Explore 12 free Linearpolynomials questions in DSSSB TGT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Linearpolynomials questions and exercises with answers

Showing questions 1–12 of 12.

A polynomial of degree 1 in one variable is called a:Read the answer and worked solution →What is the degree of the polynomial 5y³ + y² + 2y − 1?Read the answer and worked solution →The coefficient of z in the polynomial 4z³ + 5z² − 11 is:Read the answer and worked solution →Find the value of the linear polynomial 5x − 3 at x = −1:Read the answer and worked solution →A chess club charges a joining fee of ₹200 plus ₹50 for every match played. Express the total amount paid by a player after m matches:Read the answer and worked solution →Which of the following is NOT a polynomial?Read the answer and worked solution →The sum of two numbers is 64 and one is 10 more than the other. Set up the linear equation and find the numbers.Read the answer and worked solution →Salil's mother is currently three times Salil's age. After 5 years, their ages will add up to 70 years. What is Salil's CURRENT age?Read the answer and worked solution →The difference between two positive integers is 63, and they are in the ratio 2:5. The smaller integer is:Read the answer and worked solution →Ruby has 3 times as many ₹2 coins as ₹5 coins. If she has ₹88 in total, how many ₹5 coins does she have?Read the answer and worked solution →A rectangle has perimeter 20 cm. If one side is x cm, the area of the rectangle is:Read the answer and worked solution →Which of the following gives a LINEAR equation when set equal to zero?Read the answer and worked solution →

Worked practice questions

A polynomial of degree 1 in one variable is called a:

  1. Constant polynomial
  2. Linear polynomial
  3. Quadratic polynomial
  4. Cubic polynomial
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Correct answer: B. Linear polynomial

By definition, a polynomial of degree 1 (highest power of the variable = 1) is a linear polynomial. **Examples:** 4x, 2x + 3, −5x + 7. Linear polynomials produce straight-line graphs.

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What is the degree of the polynomial 5y³ + y² + 2y − 1?

  1. 1
  2. 2
  3. 3
  4. 4
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Correct answer: C. 3

The degree of a polynomial is the highest power of its variable. Here the highest power is y³, so the degree is 3 (this is a cubic polynomial).

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The coefficient of z in the polynomial 4z³ + 5z² − 11 is:

  1. 0
  2. −11
  3. 4
  4. 5
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Correct answer: A. 0

The terms are 4z³ (coefficient of z³ = 4), 5z² (coefficient of z² = 5), and −11 (the constant term). There is no z¹ term in the expression — so the coefficient of z is 0.

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More Mathematics topics

SequencesBinomial TheoremGeometryProbability & StatisticsSequences and SeriesVectors & 3D GeometryProbabilityCorrelation and Regression