6.6 Divide polynomials  (Page 3/3)

$\frac{45y+36}{9}$

$\frac{30b+75}{5}$

$\frac{8d^2-4d}{2}$

$\frac{42x^2-14x}{7}$

$\left(16y^2-20y\right)÷4y$

$\left(55w^2-10w\right)÷5w$

$\left(9n^4+6n^3\right)÷3n$

$\left(8x^3+6x^2\right)÷2x$

$\frac{18y^2-12y}{\mathrm{-6}}$

$\frac{20b^2-12b}{\mathrm{-4}}$

$\frac{35a^4+65a^2}{\mathrm{-5}}$

$\frac{51m^4+72m^3}{\mathrm{-3}}$

$\frac{310y^4-200y^3}{5y^2}$

$\frac{412z^8-48z^5}{4z^3}$

$\frac{46x^3+38x^2}{2x^2}$

$\frac{51y^4+42y^2}{3y^2}$

$\left(24p^2-33p\right)÷\left(\mathrm{-3}p\right)$

$\left(35x^4-21x\right)÷\left(\mathrm{-7}x\right)$

$\left(63m^4-42m^3\right)÷\left(\mathrm{-7}{m}^2\right)$

$\left(48y^4-24y^3\right)÷\left(\mathrm{-8}{y}^2\right)$

$\left(63a^2{b}^3+72a{b}^4\right)÷\left(9ab\right)$

$\left(45x^3{y}^4+60x{y}^2\right)÷\left(5xy\right)$

$\frac{52p^5{q}^4+36p^4{q}^3-64p^3{q}^2}{4p^{2}q}$

$\frac{49c^2{d}^2-70c^3{d}^3-35c^2{d}^4}{7c{d}^2}$

$\frac{66x^3{y}^2-110x^2{y}^3-44x^4{y}^3}{11x^2{y}^2}$

$\frac{72r^5{s}^2+132r^4{s}^3-96r^3{s}^5}{12r^2{s}^2}$

$\frac{4w^2+2w-5}{2w}$

$\frac{12q^2+3q-1}{3q}$

$\frac{10x^2+5x-4}{\mathrm{-5}x}$

$\frac{20y^2+12y-1}{\mathrm{-4}y}$

$\frac{36p^3+18p^2-12p}{6p^2}$

$\frac{63a^3-108a^2+99a}{9a^2}$

$\left(y^2+7y+12\right)÷\left(y+3\right)$

$\left(d^2+8d+12\right)÷\left(d+2\right)$

$\left(x^2-3x-10\right)÷\left(x+2\right)$

$\left(a^2-2a-35\right)÷\left(a+5\right)$

$\left(t^2-12t+36\right)÷\left(t-6\right)$

$\left(x^2-14x+49\right)÷\left(x-7\right)$

$\left(6m^2-19m-20\right)÷\left(m-4\right)$

$\left(4x^2-17x-15\right)÷\left(x-5\right)$

$\left(q^2+2q+20\right)÷\left(q+6\right)$

$\left(p^2+11p+16\right)÷\left(p+8\right)$

$\left(y^2-3y-15\right)÷\left(y-8\right)$

$\left(x^2+2x-30\right)÷\left(x-5\right)$

$\left(3b^3+b^2+2\right)÷\left(b+1\right)$

$\left(2n^3-10n+24\right)÷\left(n+3\right)$

$\left(2y^3-6y-36\right)÷\left(y-3\right)$

$\left(7q^3-5q-2\right)÷\left(q-1\right)$

$\left(z^3+1\right)÷\left(z+1\right)$

$\left(m^3+1000\right)÷\left(m+10\right)$

$\left(a^3-125\right)÷\left(a-5\right)$

$\left(x^3-216\right)÷\left(x-6\right)$

$\left(64x^3-27\right)÷\left(4x-3\right)$

$\left(125y^3-64\right)÷\left(5y-4\right)$

Average cost Pictures Plus produces digital albums. The company’s average cost (in dollars) to make $x$ albums is given by the expression $\frac{7x+500}{x}$ .

1. ⓐ Find the quotient by dividing the numerator by the denominator.
2. ⓑ What will the average cost (in dollars) be to produce 20 albums?

Handshakes At a company meeting, every employee shakes hands with every other employee. The number of handshakes is given by the expression $\frac{n^2-n}{2}$ , where $n$ represents the number of employees. How many handshakes will there be if there are 10 employees at the meeting?

James divides $48y+6$ by 6 this way: $\frac{48y+\cancel{6}}{\cancel{6}}=48y$ . What is wrong with his reasoning?

Divide $\frac{10x^2+x-12}{2x}$ and explain with words how you get each term of the quotient.