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• Tests on Operations with Polynomials
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# Tests on Operations with Polynomials

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

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