4.9 Exercise supplement

$4x^2+7x+12$

$14y^6$

$c+8$

$8$

$a^2+4a^2+6a^2$

$9y^4-18y^4$

$12x^2{y}^3+36y^3$

$6(a+4)+12(a+4)$

$4(a+2b)+6(a+2b)$

$17x^{2}y(z+4)+51y(z+4)$

$6a^2{b}^{3}c+5x^{2}y$

$x\text{'}\text{s}\text{in}9x?$

$(a+b)\text{'}\text{s}\text{in}\text{12}(a+b)?$

$a^4\text{'}\text{s}\text{in}6a^4?$

$c^3\text{'}\text{s}\text{in}2a^{2}b{c}^3?$

${(2x+3y)}^2\text{'}\text{s}\text{in}5(x+2y){(2x+3y)}^3?$

$8z,z$

$16a^3{b}^2{c}^4,c^4$

$7y(y+3),7y$

$(-5)a^5{b}^5{c}^5,bc$

$a=3b$

$r=4t+11$

$f=\frac{1}{2}{m}^2+6g$

$x=5y^3+2y+6$

$P^2=k{a}^3$

$\begin{array}{ll}C=2\pi r.\hfill & \text{Find}C\text{if}\pi \text{is}\text{approximated}\text{by}\hfill \\ \hfill & 3.14\text{and}r=6.\hfill \end{array}$

$\begin{array}{cc}I=\frac{E}{R}.& \text{Find}I\text{if}E=20\text{and}R=2.\end{array}$

$\begin{array}{cc}I=prt.& \text{Find}I\text{if}p=1000,r=0.06,\text{and}t=3.\end{array}$

$\begin{array}{cc}E=m{c}^2.& \text{Find}E\text{if}m=120\text{and}c=186,000.\end{array}$

$\begin{array}{ll}z=\frac{x-u}{s}.\hfill & \text{Find}z\text{if}x=42,u=30,\text{and}\hfill \\ s=12.\hfill & \hfill \end{array}$

$\begin{array}{ll}R=\frac{24C}{P(n+1)}.\hfill & \text{Find}R\text{if}C=35,P=300,\text{and}\hfill \\ n=19.\hfill & \hfill \end{array}$

$2a+9$

$4y^3+3y+1$

$10a^4$

$147$

$4xy+2y{z}^2+6x$

$9a{b}^2{c}^2+10a^3{b}^2{c}^5$

$\begin{array}{cc}{(2x{y}^3)}^0,& x{y}^3\ne 0\end{array}$

Why is the expression $\frac{4x}{3x-7}$ not a polynomial?

Why is the expression $5a^{3/4}$ not a polynomial?

$3y+2x=1$

$4a^2-5a+8=0$

$y-x-z+4w=21$

$5x^2+2x^2-3x+1=19$

${(6x^3)}^0+5x^2=7$

$4a^{2}b+8a^{2}b-a^{2}b$

$21x^2{y}^3+3xy+x^2{y}^3+6$

$7(x+1)+2x-6$

$2(3y^2+4y+4)+5y^2+3(10y+2)$

$5[3x+7(2x^2+3x+2)+5]-10x^2+4(3x^2+x)$

$8\{3[4y^3+y+2]+6(y^3+2y^2)\}-24y^3-10y^2-3$

$4a^{2}b{c}^3+5ab{c}^3+9ab{c}^3+7a^{2}b{c}^2$

$x(2x+5)+3x^2-3x+3$

$4k(3k^2+2k+6)+k(5k^2+k)+16$

$2\{5[6(b+2a+c^2)]\}$

$9x^{2}y(3xy+4x)-7x^3{y}^2-30x^{3}y+5y(x^{3}y+2x)$

$3m[5+2m(m+6m^2)]+m(m^2+4m+1)$

$2r[4(r+5)-2r-10]+6r(r+2)$

$abc(3abc+c+b)+6a(2bc+b{c}^2)$

$s^{10}(2s^5+3s^4+4s^3+5s^2+2s+2)-s^{15}+2s^{14}+3s(s^{12}+4s^{11})-s^{10}$

$6a^4(a^2+5)$

$2x^2{y}^4(3x^{2}y+4xy+3y)$

$5m^6(2m^7+3m^4+m^2+m+1)$

$a^3{b}^3{c}^4(4a+2b+3c+ab+ac+b{c}^2)$

$(x+2)(x+3)$

$(y+4)(y+5)$

$(a+1)(a+3)$

$(3x+4)(2x+6)$

$4xy-10xy$

$5a{b}^2-3(2a{b}^2+4)$

$7x^4-15x^4$

$5x^2+2x-3-7x^2-3x-4-2x^2-11$

$4(x-8)$

$7x(x^2-x+3)$

$-3a(5a-6)$

$4x^2{y}^2(2x-3y-5)-16x^3{y}^2-3x^2{y}^3$

$-5y(y^2-3y-6)-2y(3y^2+7)+(-2)(-5)$

$-[-(-4)]$

$-[-(-\{-[-(5)]\})]$

$x^2+3x-4-4x^2-5x-9+2x^2-6$

$4a^{2}b-3b^2-5b^2-8q^{2}b-10a^{2}b-b^2$

$2x^2-x-(3x^2-4x-5)$

$3(a-1)-4(a+6)$

$-6(a+2)-7(a-4)+6(a-1)$

Add $-3x+4$ to $5x-8$ .

Add $4(x^2-2x-3)$ to $-6(x^2-5)$ .

Subtract 3 times $(2x-1)$ from 8 times $(x-4)$ .

$(x+4)(x-6)$

$(x-3)(x-8)$

$(2a-5)(5a-1)$

$(8b+2c)(2b-c)$

${(a-3)}^2$

${(3-a)}^2$

${(x-y)}^2$

${(6x-4)}^2$

${(3a-5b)}^2$

${(-x-y)}^2$

$(k+6)(k-6)$

$(m+1)(m-1)$

$(a-2)(a+2)$

$(3c+10)(3c-10)$

$(4a+3b)(4a-3b)$

$(5+2b)(5-2b)$

$(2y+5)(4y+5)$

$(y+3a)(2y+a)$

$(6+a)(6-3a)$

$(x^2+2)(x^2-3)$

$6(a-3)(a+8)$

$8(2y-4)(3y+8)$

$x(x-7)(x+4)$

$m^{2}n(m+n)(m+2n)$

$(b+2)(b^2-2b+3)$

$3p(p^2+5p+4)(p^2+2p+7)$

${(a+6)}^2$

${(x-2)}^2$

${(2x-3)}^2$

${(x^2+y)}^2$

${(2m-5n)}^2$

${(3x^2{y}^3-4x^{4}y)}^2$

${(a-2)}^4$

$y=8x+7$

$y=5x^2-2x+6$

$y=\frac{4}{x-2}$

$m=\frac{-2x}{h}$

$z=\frac{4x+5}{y+10}$