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• Polynomials
• Operations on 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 $(x+1)$ ?
 $b = 1$ $b = 2$ $b = 3$ $b = 4$