Solution Bank Polynomials Target C
Answers to the Practice Problems are below in random order.
Solution Bank for Questions 1-14
\(\begin{align}&7x^3-7x^2+x-7\ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ &
11x^3-7x^2-2x+5\ & \ \ \ \ \ \ \ \ \ \ \ \ \ &
x^4-6x^3+x^2-4x-5;\ \text{Tim did not correctly}\\
&\ & \ \ &\ & \ \ &\text{distribute the negative.}\\\\
&8x^3-1\ & \ \ &
2x^3+21x^2+36x-108\ & \ \ &
8x^3+60x^2+150x+125;\ \text{Tina cannot just}\\
&\ & \ \ &\ & \ \ &\text{ distribute the exponent to each of the terms.}\\\\
&8x^2+6\ & \ \ &
-40x^3-47x^2-4x+3\ & \ \ &
3x^2+4x+10\\\\
&3x^3-17x^2+2\ & \ \ &
23x^2+46x-23\ & \ \ &
9x^3-x^2-9x+2\\\\
&-3x^2-46x+37\ & \ \ &
x^3-12x^2+48x-64\end{align}\)
Answers to the Practice Problems are below in random order.
Solution Bank for Questions 1-14
\(\begin{align}&7x^3-7x^2+x-7\ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ &
11x^3-7x^2-2x+5\ & \ \ \ \ \ \ \ \ \ \ \ \ \ &
x^4-6x^3+x^2-4x-5;\ \text{Tim did not correctly}\\
&\ & \ \ &\ & \ \ &\text{distribute the negative.}\\\\
&8x^3-1\ & \ \ &
2x^3+21x^2+36x-108\ & \ \ &
8x^3+60x^2+150x+125;\ \text{Tina cannot just}\\
&\ & \ \ &\ & \ \ &\text{ distribute the exponent to each of the terms.}\\\\
&8x^2+6\ & \ \ &
-40x^3-47x^2-4x+3\ & \ \ &
3x^2+4x+10\\\\
&3x^3-17x^2+2\ & \ \ &
23x^2+46x-23\ & \ \ &
9x^3-x^2-9x+2\\\\
&-3x^2-46x+37\ & \ \ &
x^3-12x^2+48x-64\end{align}\)
Solution Bank for Questions 15-21
\(\begin{align}&x^2-5x+6\ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ &2x^3-7x^2+8x-10+\dfrac{31}{2x+3}\ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ &2x^3+6x^2+3x+9+\dfrac{28}{x-3}\\\\
&2x^2-6x+3\ & \ \ &2x^2+9x-8+\dfrac{17}{x+6}\ & \ \ &2x^3+3x^2+2x+6+\dfrac{20}{2x-3}\\\\
&3x^2-2x+4\end{align}\)
\(\begin{align}&x^2-5x+6\ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ &2x^3-7x^2+8x-10+\dfrac{31}{2x+3}\ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ &2x^3+6x^2+3x+9+\dfrac{28}{x-3}\\\\
&2x^2-6x+3\ & \ \ &2x^2+9x-8+\dfrac{17}{x+6}\ & \ \ &2x^3+3x^2+2x+6+\dfrac{20}{2x-3}\\\\
&3x^2-2x+4\end{align}\)
Solution Bank for Questions 22-43
\(\begin{align}&(x^2-2)(x^2-6)\ & \ \ \ \ \ \ \ \ \ \ &
x(x^2+6)(x-2)(x+2)\ & \ \ \ \ \ \ \ \ \ \ \ &
(x-4)(x^2+4x+16)\\\\
&(x^2+8)(x^2-8)\ & \ \ \ \ \ \ \ \ \ \ \ &
(2x^3-1)(x^3+3)\ & \ \ \ \ \ \ \ \ \ \ \ &
(2x+7i)(2x-7i)\\\\
&(2x-1)(x+5i)(x-5i)\ & \ \ \ \ \ \ \ \ \ \ &
(x^3-5)(x^3+6)\ & \ \ \ \ \ \ \ \ \ \ &
x(x-10i)(x+10i)\\\\
&2x(x^2+5)(x^2-5)\ & \ \ \ \ \ \ \ \ \ \ &
(3x+5)(9x^2-15x+25)\ & \ \ \ \ \ \ \ \ \ \ &
(3x+2)(x+3)(x-3)\\\\
&(5x^2-2)(x^2+3)\ & \ \ \ \ \ \ \ \ \ \ &
(3x^2-1)(2x-1)(2x+1)\ & \ \ \ \ \ \ \ \ \ \ &
(x+5)(x-2)(x^2+2x+4)\\\\
&2(2x-1)(4x^2+2x+1)\ & \ \ \ \ \ \ \ \ \ \ &
(2x+3)(x^2-5)\ & \ \ \ \ \ \ \ \ \ &
(x^2-20)(x^2+2)\\\\
&(x-4)(x+2)(x+5)\ & \ \ \ \ \ \ \ \ \ &
(x+2)(x^2-3)^2\ & \ \ \ \ \ \ \ \ \ &
2(x-2)(x+2)(x-2i)(x+2i)\\\\
&(3x+2)(2x-1)(x-1)\end{align}\)
\(\begin{align}&(x^2-2)(x^2-6)\ & \ \ \ \ \ \ \ \ \ \ &
x(x^2+6)(x-2)(x+2)\ & \ \ \ \ \ \ \ \ \ \ \ &
(x-4)(x^2+4x+16)\\\\
&(x^2+8)(x^2-8)\ & \ \ \ \ \ \ \ \ \ \ \ &
(2x^3-1)(x^3+3)\ & \ \ \ \ \ \ \ \ \ \ \ &
(2x+7i)(2x-7i)\\\\
&(2x-1)(x+5i)(x-5i)\ & \ \ \ \ \ \ \ \ \ \ &
(x^3-5)(x^3+6)\ & \ \ \ \ \ \ \ \ \ \ &
x(x-10i)(x+10i)\\\\
&2x(x^2+5)(x^2-5)\ & \ \ \ \ \ \ \ \ \ \ &
(3x+5)(9x^2-15x+25)\ & \ \ \ \ \ \ \ \ \ \ &
(3x+2)(x+3)(x-3)\\\\
&(5x^2-2)(x^2+3)\ & \ \ \ \ \ \ \ \ \ \ &
(3x^2-1)(2x-1)(2x+1)\ & \ \ \ \ \ \ \ \ \ \ &
(x+5)(x-2)(x^2+2x+4)\\\\
&2(2x-1)(4x^2+2x+1)\ & \ \ \ \ \ \ \ \ \ \ &
(2x+3)(x^2-5)\ & \ \ \ \ \ \ \ \ \ &
(x^2-20)(x^2+2)\\\\
&(x-4)(x+2)(x+5)\ & \ \ \ \ \ \ \ \ \ &
(x+2)(x^2-3)^2\ & \ \ \ \ \ \ \ \ \ &
2(x-2)(x+2)(x-2i)(x+2i)\\\\
&(3x+2)(2x-1)(x-1)\end{align}\)