Review: Factoring Polynomials

Which of the following is the correct Factoring Method and Factored Form of the following polynomial?

 $8a^3+1$  

• Sum of Cubes $\left(2a+1\right)\left(4a^2-2a+1\right)$  

• Difference of Cubes $\left(2a+1\right)\left(4a^2-2a+1\right)$  

• Sum of Cubes  $\left(2a-1\right)\left(4a^2+2a+1\right)$  

• Difference of Cubes $\left(2a+1\right)\left(2a^2-2a+1\right)$ 

Tags

CCSS.HSA.APR.C.4

Which of the following is the correct Factoring Method and Factored Form of the polynomial?

 $x^4-100y^2$  

• Sum of Cubes $\left(x+10\right)\left(x^2-10x+100\right)$  

• Difference of Perfect Squares  $\left(x^2+10y^2\right)\left(x^2-10y^2\right)$  

• GCF  $x^2\left(x^2-100\right)$  

• Difference of Cubes  $\left(x-10\right)\left(x^2+10x+100\right)$  

Tags

CCSS.HSA.APR.C.4

Which of the following is the correct Factoring Method and Factored Form of the polynomial?

 $m^3-64$  

• Sum of Cubes $\left(m+4\right)\left(m^2-4m+16\right)$  

• Difference of Cubes  $\left(m-4\right)\left(m^2+4m+16\right)$  

• Difference of  Squares  $\left(m+8\right)\left(m-8\right)$  

• GCF  $m^2\left(m+8\right)$  

Tags

CCSS.HSA.APR.C.4

What is the GCF of

 $27w^5-75w$  ? 

Which of the following is the COMPLETELY factored form of the polynomial?

 $27w^5-75w$  

•  $\left(3w-5\right)\left(9w^2+15w+25\right)$  

•  $\left(3w+5\right)\left(9w^2-15w+25\right)$  

•  $3w\left(9w^4-25\right)$  

•  $3w\left(3w^2+5\right)\left(3w^2-5\right)$  

Tags

CCSS.HSA.APR.C.4

Which of the following Factoring Methods would need to be used to completely factor the polynomial?

 $125c^4+cd^3$  

• GCF

• Difference of Cubes

• Sum of Cubes

• Difference of Perfect Squares

Which of the following is the COMPLETELY factored form of the polynomial?

 $p^6q^4-q^7$  

• prime

•  $q^4\left(p^6-q^3\right)$  

•  $q^4\left(p^2-q\right)\left(p^4+p^2q+q^2\right)$  

•  $q^4\left(p^2+q\right)\left(p^4-p^2q+q^2\right)$  

Tags

CCSS.HSA.APR.C.4

Factor the polynomial completely. No spaces.

 $5a^2-245$  

Tags

CCSS.HSA.APR.C.4

Which of the following is the COMPLETELY factored form of the polynomial?

 $10x^8y^2+80x^2y^5$  

•  $10x^2y^2\left(x^6+8y^3\right)$  

•  $10x^2y^2\left(x^2+2y\right)\left(x^4-2x^2y+4y^2\right)$  

•  $10x^2y^2\left(x^2-2y\right)\left(x^4+2x^2y+4y^2\right)$  

• prime

Tags

CCSS.HSA.APR.C.4

Factor completely.

 $x^4+2x^2-63$  

•  $\left(x^2+9\right)\left(x^2-7\right)$  

•  $\left(x+3\right)\left(x-3\right)\left(x^2+7\right)$  

•  $\left(x^2-9\right)\left(x^2+7\right)$  

• prime

Tags

CCSS.HSA.APR.C.4