Algebra 2

 $x^{3\ }-y^3\ =$  

•  $\left(x\ -y\right)\left(x^2\ -xy\ +y^2\right)$  

•  $\left(x\ -\ y\right)\left(x^2\ +\ xy\ +y^2\right)$  

• (x + y) ( x - y)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $2x^2+5x+6\ =p\left(x+q\right)^2+r$ 

•  $p=2,\ q=\frac{5}{4},\ r=\frac{23}{8}$  

•  $p=\frac{1}{2},\ q=4,\ r=\ 23$  

•  $p=2,\ q=4,\ r=\frac{23}{8}$  

•  $p=\frac{1}{2},\ q=\frac{5}{4},\ r=23$  

 $\frac{12m^2n^3}{\left(6m^4n^5\right)^2}$  Simplify this algebraic expression.

•  $3m^6n^7$  

•  $\frac{2}{m^2n^2}$  

•  $\frac{1}{3m^6n^7}$  

•  $\frac{2}{m^6n^7}$  

Solve for x and y:

 $y=x+4,\ 5y+2x=6$  

• (-2, 2)

• (2, -2)

• (-2, -2)

• (2, 2)

Using long division, find

 $x^3-x^2-7x+3\ \div x-3$  

•  $x^2+2x+1$  

•  $x^2+2x-1$  

•  $x^2+2x+1$  

•  $x^2-2x-1$  

Divide

 $3x^4-9x^2+27x-66$  by  $x-2$  

•  $3x^3+6x^2+3x+33$  

•  $3x^3-6x^2+3x-33$  

•  $3x^3+6x^2-3x+33$  

•  $3x^3+6x^2+3x-33$  

 $x^4-9x^2=0.$  Solve this equation.

•  $x=0,\ x=3,\ x=-3$  

•  $x=0,\ x=0,\ x=3,\ x=-3.$  

•  $x=0,\ x=3,\ x=3,\ x=-3$  

•  $x=0,\ x=3,\ x=-3,\ x=-3.$  

 $x^{3\ }-27$  Factorise this polynomial.

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

•  $\left(x-3\right)\left(x^2+x-9\right)$  

•  $\left(x-3\right)\left(x^2+3x+9\right)$  

•  $\left(x+3\right)\left(x^2-3x+9\right)$  

Solve the system.

• (3, -2, 4)
• (2, -3, 1)
• (-3, 2, -1)
• Infinitely many solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.9

Identify the following polynomial.
 $36x^2-y^2$  

• Difference of Squares

• Perfect Square Trinomial

• Sum of Cubes

• Difference of Cubes

Tags

CCSS.HSA.SSE.A.2