Mastering Polynomials and Algebraic Expressions

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Questions and Answers

What is the definition of a polynomial?

  • An algebraic expression that can contain addition, subtraction, multiplication, division, and exponentiation operations.
  • An algebraic expression that can contain addition, subtraction, multiplication, and division operations. (correct)
  • An algebraic expression that can only contain addition, subtraction, and multiplication operations.
  • An algebraic expression that can only contain addition and subtraction operations.

Which of the following is an example of a polynomial in one variable?

  • $\frac{1},{x}$
  • $\sqrt{x}$
  • $2x + 3$
  • $x^2 - 5x + 2$ (correct)

Which of the following is an algebraic identity mentioned in the text?

  • $x^2 + 2xy + y^2 = (x + y)^2$ (correct)
  • $x^2 + y^2 = (x + y)(x - y)$
  • $x^2 - 2xy + y^2 = (x - y)^2$
  • $x^2 - y^2 = (x + y)(x - y)$

What is the Remainder Theorem used for?

<p>To find the remainder of polynomial division. (A)</p> Signup and view all the answers

Which of the following is an algebraic identity used in factorization?

<p>$x^2 + y^2 = (x + y)(x - y)$ (A)</p> Signup and view all the answers

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