Adding, Subtracting, Multiplying Polynomials, and GCF

 Simplify the expression:

 $\left(p^5-7p-1\right)+\left(-p^5+2p^4+4\right)$ 

•  $2p^4-5p+3+p^5$  

•  $2p^4-7p+3+p^5$  

•  $2p^4-10p+3+p^5$  

•  $2p^4-7p+3$  

Tags

CCSS.HSA.APR.A.1

Simplify the expression:

 $\left(6m^2-2m-2\right)-\left(-3m^3-7m-4\right)$  

•  $3m^3+6m^2-6m+7$  

•  $3m^3+6m^2-6m+2$  
  

•  $3m^3+6m^2-3m+2$  

•  $3m^3+6m^2+5m+2$  

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
 $\left(5x^4+7x^3+3x^2\right)-\left(-5x^4+x^3+6x\right)$  

•  $10x^4+9x^3+3x^2-6x$  

•  $10x^4+6x^3+3x^2-6x$  

•  $8x^4+9x^3+3x^2-7x$  

•  $8x^4+9x^3+3x^2-6x$  

Tags

CCSS.HSA.APR.A.1

Simplify the expression:

 $\left(-4a^2+8a-5\right)-\left(5a^2-6a+1\right)$  

•  $5a^4-18a^2+14a-6$  

•  $-16a^2+14a-6$  

•  $-18a^2+14a-6$  

•  $-9a^2+14a-6$  

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
 $\left(-4n^4-5n^3+6\right)-\left(-5n^4-6n^3-1\right)$ 

•  $-7n^4+n^3+7$  

•  $-7n^4-n^3+7$  

•  $n^4+n^3+7$  

•  $-7n^4-2n^3+7$  

Tags

CCSS.HSA.APR.A.1

Simplify the expression:

 $\left(-8b^5+2b^3+b\right)+\left(-b^5+8b^3-b\right)$  

•  $-9b^5+17b^3$  

•  $-9b^5+10b^3$  

•  $-16b^5+14b^3$  

•  $-16b^5+10b^3$  

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
 $\left(-m^3+5m^2-7m\right)-\left(4m^3-4m^2+7m\right)$  

•  $-13m^3+9m^2-14m$  

•  $-5m^3+9m^2-14m$  

•  $-13m^3+9m^2-6m$  

•  $-13m^3+6m^2-6m$  

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
 $\left(-2v^5-4v^4-7v\right)+\left(8v^5-3v^4+v^3\right)$  

•  $6v^5-7v^4+v^3-7v$  

•  $6v^5-7v^4+v^3-5v$  

•  $-v^5-7v^4+v^3-13v$  

•  $-v^5-7v^4+v^3-5v$  

Tags

CCSS.HSA.APR.A.1

Factor completely:

 $-16a^5-4a^3+40a^2$  

•  $-4a^2\left(8a^4+2a^2-20\right)$  

•  $-16a^2\left(4a^4+a^3-10a^2\right)$  

•  $-4a^2\left(4a^3+a-10\right)$  

•  $-4a^3\left(16a^4+4a^2-40a\right)$  

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Factor completely:

 $4n^4+16n^2+8n$  

•  $4n\left(n^4+4n^2+2n\right)$  

•  $16n\left(n^3+4n+10\right)$  

•  $4n\left(n^3+4n+2\right)$  

•  $2\left(2n^4+8n^2+4\right)$  

• Prime