factoring polynomials (special cases)

Factor:  $x^2-121$  

•  $\left(x-11\right)^2$  

•  $\left(x+11\right)\left(x-11\right)$  

•  $\left(x-60.5\right)\left(x+60.5\right)$  

•  $\left(x+11\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $64x^2+112x+49$  Factor:

•  $\left(8x-7\right)\left(8x+7\right)$  

•  $\left(8x-7\right)^2$  

•  $\left(16x+7\right)^2$  

•  $\left(8x+7\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $a^2-10a+25$  Factor:

•  $\left(a-5\right)\left(a+5\right)$  

•  $\left(a+5\right)^2$  

•  $\left(a-5\right)^2$  

•  $\left(a-10\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $k^2-225$  Factor:

•  $\left(k\ +15\right)\left(k\ -15\right)$  

•  $\left(k-15\right)^2$  

•  $\left(k\ -25\right)^2$  

•  $\left(k\ +10\right)\left(k\ -10\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $16x^2-81$  Factor:

•  $\left(4x-9\right)^2$  

•  $\left(2x-9\right)^2$  

•  $\left(4x\ +\ 9\right)^2$  

•  $\left(4x+9\right)\left(4x-9\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $4x^2+20x+25$  Factor:

•  $\left(2x+5\right)\left(2x-5\right)$  

•  $\left(2x+5\right)^2$  

•  $\left(4x+5\right)^2$  

•  $\left(2x-5\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $49x^2-144$  Factor:

•  $\left(7x-12\right)^2$  

•  $\left(7x+12\right)^2$  

•  $\left(7x-12\right)\left(7x+12\right)$  

•  $\left(4x+11\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:  $x^2-18x+81$  

•  $\left(x-9\right)^2$  

•  $\left(x-9\right)\left(x+9\right)$  

•  $\left(x+9\right)^2$  

•  $\left(x+18\right)\left(x-18\right)$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:  $16y^2-24y+9$  

•  $\left(4y+3\right)\left(4y-3\right)$  

•  $\left(8y\ +\ 3\right)^2$  

•  $\left(8y-3\right)^2$  

•  $\left(4y-3\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:  $49x^2-28x+4$  

•  $\left(7x+2\right)\left(7x-2\right)$  

•  $\left(7x+2\right)^2$  

•  $\left(7x-2\right)^2$  

•  $\left(3.5x-1\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3