Factoring Polynomials Review

Which is the GCF (Greatest Common Factor) of 12x and 27?

• 3x

• 12

• 3

• 9

Tags

CCSS.6.NS.B.4

Factor completely.
 $3x^2-12x$  

•  $3x\left(x^2-4x\right)$  
  

•  $3x\left(x-4\right)$  
  

•  $x\left(3x-12\right)$  

•  $3\left(x^2-12\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely. $5x^2+20x$  

•  $5\left(x+4\right)$  

•  $5x\left(x+20\right)$  

•  $5x\left(x+4\right)$  

•  $5\left(x+20\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

Which of the following expressions are examples of DOTS (Difference of Two perfect Squares)?

• $x^2-36$

• $x^2+4$

• $4x^2-1$

• $x^2-196$

• $x-100$

Tags

CCSS.HSA.APR.C.4

Which of the following answers show the correct factorization of x² - 25? Hint: more than 1 answer is correct!

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• ( x - 5 )( x + 5 )

Tags

CCSS.HSA.APR.C.4

Factor completely. u² - 100

• (u - 10)(u + 10)

• (u - 10)(u - 10)

• (u + 10)(u + 10)

• (u - 10)²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely. 16y² - 25

• (y - 5)(y + 4)

• (4y - 5)(4y - 5)

• (4y + 5)(4y - 5)

• (5 + 4y)(5 + 4y)

Tags

CCSS.HSA.APR.C.4

Factor completely. 25r² - 144

• (5r - 12)(5r - 12)

• (5r - 12)(5r + 12)

• (r - 5)(r - 12)

• (12r - 5)(12r + 5)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following expressions would we consider an "easy trinomial"? Choose all answers that are correct.

• $x^2-x+2$

• $2x^2+13x+21$

• $x^2+52x+100$

• $x^2-49x-50$

• $5x^2-4x-9$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1