다항식 전체 문제

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

$(5x+2y)(5x-2y)$

$(15x{y}^{3}-35{x}^{2}y)\div 5xy$

$(3{x}^{3}-10{x}^{2}+7x+10)\div (3x+2)$

Use the Factor Theorem to determine if $x+3$ a factor of ${x}^{3}+8{x}^{2}+21x+18.$

ⓐ Convert 112,000 to scientific notation. ⓑ Convert $5.25\,\times \,{10}^{-4}$ to decimal form.

In the following exercises, simplify and write your answer in exponential notation.

$(2.4\,\times \,{10}^{8})(2\,\times \,{10}^{-5})$

In the following exercises, simplify and write your answer in exponential notation.

$\frac{9\,\times \,{10}^{4}}{3\,\times \,{10}^{-1}}$

In the following exercises, simplify and write your answer in exponential notation.

For the function $f(x)=6{x}^{2}-3x-9$ find: ⓐ $f(3)$ ⓑ $f(-2)$ ⓒ $f(0)$

In the following exercises, simplify and write your answer in exponential notation.

For $f(x)=2{x}^{2}-3x-5$ and $g(x)=3{x}^{2}-4x+1,$ find ⓐ $(f+g)(x)$ ⓑ $(f+g)(1)$ ⓒ $(f-g)(x)$ ⓓ $(f-g)(-2)$

In the following exercises, simplify and write your answer in exponential notation.

For functions $f(x)=3{x}^{2}-23x-36$ and $g(x)=x-9,$ find ⓐ $\left(\frac{f}{g}\right)(x)$ ⓑ $\left(\frac{f}{g}\right)(3)$

Factor 56 into primes.

Find the least common multiple (LCM) of 18 and 24.

Multiply: $-3a(7a+8b).$

Find the greatest common factor of $21{x}^{3},9{x}^{2},15x.$

Find the greatest common factor: $25{m}^{4},35{m}^{3},20{m}^{2}.$

Find the greatest common factor: $14{x}^{3},70{x}^{2},105x.$

Factor: $8{m}^{3}-12{m}^{2}n+20m{n}^{2}.$

Factor: $9x{y}^{2}+6{x}^{2}{y}^{2}+21{y}^{3}.$

Factor: $3{p}^{3}-6{p}^{2}q+9p{q}^{3}.$