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  • Tests on Operations with Polynomials
Test Title:

Tests on Operations with Polynomials

There are 4 tests inside this topic. Click the button below to change currently active quiz.

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Current: Test on division of polynomial and Remainder theorem
  • Q1:
    1 pts
    Is the following equation true or false? $$25x^2 \div 5x = 5x$$
  • Q2:
    1 pts
    $27a^2 \div $
    $=3a$
  • Q3:
    1 pts
    Divide $\frac{2x^3+4x}{2x}$
    $x^2+2x$
    $x+2$
    $2x+2$
    $x^2+2$
  • Q4:
    1 pts
    Is the following equation true or false? $$\frac{2x+4}{x+1} = 2$$
  • Q5:
    2 pts
    Divide $(x^2 - 2x -3)$ by $(x + 1)$

    x-3

    x+3

    x-2

    x+2

  • Q6:
    2 pts
    Is the following equation true or false? $$\frac{2x^3-5x^2-9x-3}{2x+1} = x^2-3x-3$$
  • Q7:
    3 pts
    Use the remainder theorem to find the remainder when $x^3-2x^2-3$ is divided by $x+1$.

    6

    -4

    4

    -6

  • Q8:
    3 pts
    Use the remainder theorem to find the remainder when $x^3+3x^2-10$ is divided by $x-1$.

    5

    -5

    -6

    -8

  • Q9:
    3 pts
    For what value of $a$ will the polynomial $p(x)=x^3+x+a$ have remainder 2 when it is divided by $x+2$ ?

    a = 10

    a = 11

    a = 12

    a = 13

  • Q10:
    3 pts
    For what value of $b$ will the polynomial $p(x)=x^2-bx+3$ have the same remainder when it is divided by $(x-2)$ and by $(x+1)$ ?

    b = 1

    b = 2

    b = 3

    b = 4