Section 2.4 - Adding And Subtracting Polynomials

9 Questions | By Seixeiroda | Updated: Mar 20, 2022 | Attempts: 541

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Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable. If you are prepared to test your knowledge try it out.

Questions and Answers

1.

Simplify (4x + 3) + (-6x - 2)
- A.
  
  -2x - 1
- B.
  
  -2x + 1
- C.
  
  2x + 1
- D.
  
  2x + 5
2.

Simplify 8n^2 - 3n + n^2 - 2n
- A.
  
  4n^2
- B.
  
  5n^2 - n
- C.
  
  9n^2 - 5n
- D.
  
  7n^2 + n
3.

Simplify 6x^2 + 4y + y^2 - 9y
- A.
  
  6x^2 + y^2 - 5y
- B.
  
  7x^2 - 5y
- C.
  
  6x^2 - 4y
- D.
  
  6x^2 + y^2 + 13y
4.

Simplify (5x^2 - 3xy + 9y^2) - (-4x^2 + 2xy + 3y^2)
- A.
  
  X^2 - xy + 6y^2
- B.
  
  X^2 - 5xy + 6y^2
- C.
  
  9x^2 - xy + 12y^2
- D.
  
  9x^2 - 5xy + 6y^2
5.

What needs to be added to x^2 + 3x - 2 to give you a sum of 3x^2 - 2x + 1
- A.
  
  3x^2 + 5x - 3
- B.
  
  2x^2 + 5x - 3
- C.
  
  2x^2 - 5x + 3
- D.
  
  2x^2 + 5x + 3
6.

What needs to be added to -3x^2z^2 - 5z^2 to give you a sum of 2x^2z^2 + x^2 - 3z^2?
- A.
  
  5x^2z^2 + 2z^2
- B.
  
  5x^2z^2 + x^2 + 2z^2
- C.
  
  -1x^2z^2 + x^2 - 2z^2
- D.
  
  -5x^2z^2 + x^2 - 2z^2
7.

All of the following statements pertaining to adding or subtracting polynomials are true except:
- A.
  
  Like terms can be combined by adding or subtracting their numerical coefficients
- B.
  
  You can simplify a sum or difference of polynomials by adding or subtracting the coefficients and exponents of like terms
- C.
  
  The sum or difference of the coefficients of like terms can be calculated using the principles for adding and subtracting rational numbers
- D.
  
  If often is easier to subtract two polynomilas by adding the opposite
8.

A rectangle has a length of 2x^2 + 5x + 1 and a width of 3x^2 + 4x + 3. What is the perimeter of the rectangle?
- A.
  
  6x^2 + 20x + 3
- B.
  
  5x^2 + 9x + 4
- C.
  
  12x^2 + 40x + 6
- D.
  
  10x^2 + 18x + 8
9.

A triangle has side lengths of 3m^2 + 7n - 2, -2n^2 + 7m - 4n + 5 and 8m^2 + n^2 + 6m + 1. What is the perimter of the triangle?
- A.
  
  11m^2 - n^2 + 13m + 3n + 4
- B.
  
  11m^2 + m - 11n + 6
- C.
  
  9m^2 + n^2 + 13m + 3n + 8
- D.
  
  24m^2 - 2n^2 + 42m - 28n - 10