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 $(x+1)$ ?

$b = 1$	$b = 2$
$b = 3$	$b = 4$

Division of polynomial and remainder theorem

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations