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  • Polynomials
  • Operations with Polynomials
  • Division of polynomial and remainder theorem

Division of polynomial and remainder theorem

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  • Question 1:
    1 pts
    Is the following equation true or false? $$25x^2 \div 5x = 5x$$
  • Question 2:
    1 pts
    $27a^2 \div $
    $=3a$
  • Question 3:
    1 pts
    Divide $\frac{2x^3+4x}{2x}$
    $x^2+2x$
    $x+2$
    $2x+2$
    $x^2+2$
  • Question 4:
    1 pts
    Is the following equation true or false? $$\frac{2x+4}{x+1} = 2$$
  • Question 5:
    2 pts
    Divide $(x^2 - 2x -3)$ by $(x + 1)$

    $x-3$

    $x+3$

    $x-2$

    $x+2$

  • Question 6:
    2 pts
    Is the following equation true or false? $$\frac{2x^3-5x^2-9x-3}{2x+1} = x^2-3x-3$$
  • Question 7:
    3 pts
    Use the remainder theorem to find the remainder when $x^3-2x^2-3$ is divided by $x+1$.

    $6$

    $-4$

    $4$

    $-6$

  • Question 8:
    3 pts
    Use the remainder theorem to find the remainder when $x^3+3x^2-10$ is divided by $x-1$.

    $5$

    $-5$

    $-6$

    $-8$

  • Question 9:
    3 pts
    For what value of $a$ will the polynomial $p(x)=x^3+x+a$ have remainder 2 when it is divided by $x+2$ ?

    $a = 10$

    $a = 11$

    $a = 12$

    $a = 13$

  • Question 10:
    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 $(x+1)$ ?

    $b = 1$

    $b = 2$

    $b = 3$

    $b = 4$