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Which subjectMathematics
What age groupYear or Grade 11
What topicPolynomials and Combining Like-terms
Question typesMixed
Number of questions10
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Grade 11 Mathematics Quiz: Polynomials and Combining Like Terms

Instructions:

Please answer the following questions. For multiple-choice questions, select the letter corresponding to the correct answer.


  1. What is the degree of the polynomial ( 4x^3 + 3x^2 - 2x + 1 )?

  2. Which of the following is a polynomial? A. ( 3x^2 + 2x - 5 )
    B. ( \frac{2}{x} + x^2 )
    C. ( \sqrt{x} + 4 )
    D. ( x^2 - 4x + 7 )
    E. ( x^{-1} + 8 )
    F. ( 5x^2 + 0.5x + 1 )
    G. ( x^3 + 2x^{3.5} )
    H. ( 3 + 4y^2 )
    I. ( 2 + \ln(x) )
    J. ( 3x + 7 - \frac{x^2}{3} )

  3. Combine the like terms in the expression: ( 5a^2 + 3a - 2a^2 + 6 )

  4. Which of the following expressions is equal to ( (x + 2)(x - 3) )? A. ( x^2 - 6 )
    B. ( x^2 - x - 6 )
    C. ( x^2 + 5x - 6 )
    D. ( x^2 - 5x - 6 )
    E. ( x^2 + x - 6 )
    F. ( x^2 + 6 )
    G. ( 2x^2 - xy )
    H. ( x^2 - 6x + 6 )
    I. ( x^2 + 3 )
    J. ( x^2 - 4 )

  5. What is the sum of ( 3x^2 + 5xy - 4 ) and ( 2x^2 - 3xy + 1 )?

  6. Which of the following represents the polynomial operation for ( 2x^2 + 3x - 5 - (x^2 + 4x - 3) )? A. ( x^2 + 7x - 2 )
    B. ( x^2 - x - 2 )
    C. ( x^2 - 7x - 2 )
    D. ( 3x^2 - x - 8 )
    E. ( x^2 + x - 2 )
    F. ( 3x^2 - x + 8 )
    G. ( 2x^2 + 3x - 8 )
    H. ( 2x^2 + x - 2 )
    I. ( x^2 - 3x - 2 )
    J. ( 3x^2 - 7x + 2 )

  7. What is the coefficient of ( x^4 ) in the polynomial ( 7x^4 - 3x^3 + 2x - 8 )?

  8. Combine the like terms in the expression: ( 6y - 2 + 3y + 5y - 4 )

  9. Which of the following represents the expression ( (3x + 4)(2x - 1) ) correctly expanded? A. ( 6x^2 + 11x - 4 )
    B. ( 6x^2 + 10x - 4 )
    C. ( 6x^2 - 11x - 4 )
    D. ( 9x^2 - 6x + 4 )
    E. ( 3x^2 + 4 )
    F. ( 6x^2 + 3x - 4 )
    G. ( 6x^2 - 11x + 4 )
    H. ( 5x^2 + 4x - 3 )
    I. ( 5x^2 + 11x - 4 )
    J. ( 6x^2 + 3x + 4 )

  10. What is the leading coefficient of the polynomial ( 2x^5 - 7x^4 + 3x^2 + 1 )?


Good luck!