Adding and Subtracting Polynomials, Exercises of Mathematics

A set of exercises on adding and subtracting polynomials. Each exercise includes a problem statement and the answer, along with the number of points earned. The exercises cover various forms of polynomials and involve adding and subtracting terms with different coefficients and degrees.

Typology: Exercises

2021/2022

Uploaded on 04/06/2022

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Add and Subtract Polynomials
Name: Date:
1. When x2+ 3x๎˜€4 is subtracted from x3+ 3x2๎˜€2x,
the di๎˜‹erence is
A. x3+ 2x2๎˜€5x+ 4 B. x3+ 2x2+x๎˜€4
C. ๎˜€x3+ 4x2+x๎˜€4 D. ๎˜€x3๎˜€2x2+ 5x+ 4
2. When 6x2๎˜€4x+ 3 is subtracted from 3x2๎˜€2x+ 3,
the result is
A. 3x2๎˜€2xB. ๎˜€3x2+ 2x
C. 3x2๎˜€6x+ 6 D. ๎˜€3x2๎˜€6x+ 6
3. The sum of 8n2๎˜€3n+ 10 and ๎˜€3n2๎˜€6n๎˜€7 is
A. 5n2๎˜€9n+ 3 B. 5n2๎˜€3n๎˜€17
C. ๎˜€11n2๎˜€9n๎˜€17 D. ๎˜€11n2๎˜€3n+ 3
4. The sum of 3x2+ 5x๎˜€6 and ๎˜€x2+ 3x+ 9 is
A. 2x2+ 8x๎˜€15 B. 2x2+ 8x+ 3
C. 2x4+ 8x2+ 3 D. 4x2+ 2x๎˜€15
5. What is the sum of ๎˜€3x2๎˜€7x+ 9 and
๎˜€5x2+ 6x๎˜€4?
A. ๎˜€8x2๎˜€x+ 5 B. ๎˜€8x4๎˜€x+ 5
C. ๎˜€8x2๎˜€13x+ 13 D. ๎˜€8x4๎˜€13x2+ 13
6. Which expression is equivalent to
๎˜€3x(x๎˜€4) ๎˜€2x(x+ 3)?
A. ๎˜€x2๎˜€1 B. ๎˜€x2+ 18x
C. ๎˜€5x2๎˜€6xD. ๎˜€5x2+ 6x
7. When 4x2+ 7x๎˜€5 is subtracted from 9x2๎˜€2x+ 3,
the result is
A. 5x2+ 5x๎˜€2 B. 5x2๎˜€9x+ 8
C. ๎˜€5x2+ 5x๎˜€2 D. ๎˜€5x2+ 9x๎˜€8
8. Subtract 2x2๎˜€5x+ 8 from 6x2+ 3x๎˜€2 and express
the answer as a trinomial.
page 1
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Add and Subtract Polynomials

Name: Date:

  1. When x^2 + 3x 4 is subtracted from x^3 + 3x^2 2 x, the di erence is

A. x^3 + 2x^2 5 x + 4 B. x^3 + 2x^2 + x 4

C. x^3 + 4x^2 + x 4 D. x^3 2 x^2 + 5x + 4

  1. When 6x^2 4 x + 3 is subtracted from 3x^2 2 x + 3, the result is

A. 3 x^2 2 x B. 3 x^2 + 2x

C. 3 x^2 6 x + 6 D. 3 x^2 6 x + 6

  1. The sum of 8n^2 3 n + 10 and 3 n^2 6 n 7 is

A. 5 n^2 9 n + 3 B. 5 n^2 3 n 17

C. 11 n^2 9 n 17 D. 11 n^2 3 n + 3

  1. The sum of 3x^2 + 5x 6 and x^2 + 3x + 9 is

A. 2 x^2 + 8x 15 B. 2 x^2 + 8x + 3

C. 2 x^4 + 8x^2 + 3 D. 4 x^2 + 2x 15

  1. What is the sum of 3 x^2 7 x + 9 and 5 x^2 + 6x 4?

A. 8 x^2 x + 5 B. 8 x^4 x + 5

C. 8 x^2 13 x + 13 D. 8 x^4 13 x^2 + 13

  1. Which expression is equivalent to 3 x(x 4) 2 x(x + 3)?

A. x^2 1 B. x^2 + 18x

C. 5 x^2 6 x D. 5 x^2 + 6x

  1. When 4x^2 + 7x 5 is subtracted from 9x^2 2 x + 3, the result is

A. 5 x^2 + 5x 2 B. 5 x^2 9 x + 8

C. 5 x^2 + 5x 2 D. 5 x^2 + 9x 8

  1. Subtract 2x^2 5 x + 8 from 6x^2 + 3x 2 and express the answer as a trinomial.

page 1

  1. Subtract 5x^2 7 x 6 from 9x^2 + 3x 4.
  2. What is the sum of (2a + 3b 5) and (5a 3 b 1)?
  3. From y^2 + 5y 7, subtract y^2 3 y 4.
    1. Express the sum of 2 x^2 + 7x 6 and 3x^2 8 x 1 as a trinomial.
    2. From 7x^2 4 x subtract 5x^2 + 2x.
    3. Express in simplest form: (5a^2 3 a + 8) + ( 4 a^2 1) + (15a + 11)

page 2 Add and Subtract Polynomials