Polynomials Basics- Add, Subtract, Multiply, Divide, Factor

 $3x^4-3x^2+9$  

This polynomial can be classified as

• cubic trinomial

• quartic trinomial

• quadratic trinomial

• cubic binomial

• quartic binomial

Simplify: (-7x - 5x⁴ + 5) - (-9x⁴ - 5 - 9x)

• 4x⁴ + 2x + 2 + 10

• -16x⁴ + 8x + 10

• -16x⁴ - 8x

• 4x⁴ + 2x + 10

Tags

CCSS.HSA.APR.A.1

Simplify: (2k + 3)(2k² - 5k -2)

• 4k³ + 19k² - 4k -6

• 4k³ - 4k² +11k - 6

• 4k³ + 16k² - 11k - 6

• 4k³ - 4k² - 19k -6

Tags

CCSS.HSA.APR.A.1

Find the product. 
(x - 4)²

• x² - 16
• x² + 16
• x² - 8x + 16
• x² + 8x - 16

Tags

CCSS.HSA.APR.C.4

Is this division problem worked correctly?

• This is correct!
• This is incorrect!

Tags

CCSS.HSA.APR.D.6

Simplify  $\left(m^2+14m+31\right)\div\left(m+10\right)$ 

using long or synthetic division.

•  $m^2+4m-9$  
  

•  $m-5$  
  

•  $m+4-\frac{9}{m+10}$   
  

•  $m+1+\frac{271}{m+10}$  
  

•  $m-4+\frac{71}{m+10}$  

Tags

CCSS.HSA.APR.D.6

What missing term should you add into this problem?

(2x³ + 5x² + 9) ÷ (x + 3)

• 0x⁴

• 0x³

• 0x²

• 0x

Tags

CCSS.HSA.APR.D.6

Simplify
 $\left(2x^3-5x^2-4x-25\right)\div\left(x-4\right)$  
using long or synthetic division

•  $2x^2+3x+8-\frac{57}{x-4}$  

• 
  

   $2x^2-13x-56$  

•  $2x^2+3x+8+\frac{7}{x-4}$  

•  $2x^3+3x^2+8x+7$ 

Tags

CCSS.HSA.APR.D.6

(27x³ + 9x² - 3x - 10) ÷ (3x - 2)

• 9x⁴+5

• 9x²+9x+5

• 9x²-9x+5

• 9x²-9x

Tags

CCSS.HSA.APR.D.6

Factor the polynomial:

9x² - 25

• (3x - 5)(3x + 5)

• (3x - 5)(3x - 5)

• (3x + 5)(3x + 5)

• (9x + 5)(x - 5)

Tags

CCSS.HSA.APR.C.4