Simplifying Polynomials – Practice Questions with Answers

Below are additional practice questions on simplifying polynomials . Answers are provided at the end of the page.

In each question, simplify the polynomial expression and write the final answer in standard form.

Question 1

\[ 2(x + 3) - (-3x + 7) \]

\[ -4(8x - 10) - 3(7x - 1) + 3(4x) + 12 \]

\[ 2(x^2 - 3x - 2) - (-3x^2 + 7x - 1) \]

\[ -3(x^3 - x^2 - 2x - 5) - (4x^3 - 7x - 1) \]

\[ (-2x - 5)(2x - 8) - (2x - 5)(3x + 7) \]

\[ (x^2 + 4)(x - 4) - (-x - 1)(6x) \]

\[ (-x^3 + 4)(x + 2) - (2x - 1)(5x) \]

\[ (x^2 + 5)(x + 5) - 3x^2(3x + 1) \]

\[ (x^3 + 1)(-2x + 2) + 2x^2(4x^2 + 1) \]

\[ (x^4 - 3)(3x - 4) + 2x^3(2x^2 - 2) \]

1. \(\;5x - 1\)

2. \(\;-41x + 55\)

3. \(\;5x^2 - 13x - 3\)

4. \(\;-7x^3 + 3x^2 + 13x + 16\)

5. \(\;-10x^2 + 7x + 75\)

6. \(\;x^3 + 2x^2 + 10x - 16\)

7. \(\;-x^4 - 2x^3 - 10x^2 + 9x + 8\)

8. \(\;-8x^3 + 2x^2 + 5x + 25\)

9. \(\;6x^4 + 2x^3 + 2x^2 - 2x + 2\)

10. \(\;7x^5 - 4x^4 - 4x^3 - 9x + 12\)