Factorization & Simplification — Quiz 4

Questions in this quiz (5)

1. Simplify: $$\frac{240x^6 + 96x^4}{16x^2}$$

   • $$15x^4 + 6x^2$$
   • $$15x^4 + 9x^2$$
   • $$15x^4 + 12x^2$$
   • $$15x^4 + 8x^2$$

2. If $$q=\frac{1+\frac{a}{b}}{1+\frac{ab}{c^2}}$$, $$a=\frac{c}{3}$$, $$b=2c.$$ Find the value of $$q$$.

   • $$\frac{1}{2}$$
   • $$\frac{2}{3}$$
   • $$\frac{7}{10}$$
   • $$\frac{5}{6}$$

3. Expand the polynomial: $$(x+3y-2z)^2$$

   • $$x^2-9y^2+4z^2+6xy-4xz+12yz$$
   • $$x^2+9y^2+4z^2+6xy-4xz-12yz$$
   • $$-x^2-9y^2+4z^2+6xy+4xz-12yz$$
   • $$x^2+9y^2+4z^2+6xy+4xz+12yz$$

4. Which expression is equivalent to:$$\frac{3}{\sqrt{5}+4}$$

   • $$\frac{12-3\sqrt{5}}{11}$$
   • $$\sqrt{5}-4$$
   • $$11-\sqrt{5}$$
   • $$\frac{11+\sqrt{5}}{3}$$

5. $$(\frac{3}{4}x^2 - \frac{2}{5}y) - (\frac{1}{2}x^2 + \frac{3}{10}y + x) = ?$$

   • $$\frac{1}{2}x^2 + \frac{7}{5}y + x$$
   • $$\frac{1}{4}x^2 - \frac{7}{10}y - x$$
   • $$\frac{1}{2}x^2 - \frac{7}{5}y + x$$
   • $$\frac{1}{4}x^2 + \frac{7}{10}y + x$$