Factor theorem and algebraic identities

If f(x) is divisible by (x - a) hen the remainder is

• f(- a)

• f(a)

• f(1)

Tags

CCSS.HSA.APR.B.2

Factors of  $9\ x^2\ -\ 25$  = 

• (3 x +25) (3 x- 1)

• (3 x + 5)(3 x - 5)

• (9 x- 1)(3 x - 5)

Tags

CCSS.HSA.SSE.A.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

 $\left(2x\ +\ 3y\ +\ 4z\right)^2$  Expansion of

•  $4x^2+9x^2+16\ z^2\ +12xy\ +24yz\ +16xz$  

•  $2\ x^2+3\ y^2+4\ z^2\ +6xy\ +12yz\ +8xz$  

Tags

CCSS.HSA.APR.C.5

 $\left(-\ 12\right)^3+\left(8\right)^3\ +\ \left(4\right)^3$  

 $x^3\ -23\ x^2+142\ x\ -120$  Factors of

•  $\left(x-1\right)\left(x\ -10\right)\left(x\ -12\right)$  

•  $\left(x\ +1\right)\left(x\ -10\right)\left(x\ -12\right)$  

•  $\left(x\ -1\right)\left(x\ +12\right)\left(x\ -\ 10\right)$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

 $\left(a\ +b\right)^3=$  

•  $a^3\ +b^3\ +3\ ab\ +3\ b^2a\$  

•  $a^3\ +b^3\ +3\ a^2\ b\ +3\ a\ b^2$  

•  $a^2\ +b^2\ +3\ a^2\ b\ +3\ a\ b^2$  

Tags

CCSS.HSA.APR.C.5

 $3\ x^2\ +11\ x\ +6$  Factors 

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

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

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.REI.B.4

Examine whether ( x + 2) is a factor of  $x^3+2\ x^2+3\ x\ +6$  (say Yes OR No)

Tags

CCSS.HSA.APR.B.2

 find the value of K, If (x - 2) is a factor of  $x^3+x^2\ -4\ x\ +K$  

Tags

CCSS.HSA.APR.B.2