Divide Polynomials and Factor Polynomials

Divide Using Synthetic Division:

(3x⁴+5x²-10x-8) / (x-1)

• 3x³+3x²+8x-2-(10/(x-1))

• 3x³+3x²+8x-2

• 6x³-4x²+x-1

• x-1

Tags

CCSS.HSA.APR.D.6

Divide Using Long Division:

(10x⁴+4x³-8x²+3x+10) / (2x²-4x)

• 5x²+12x+20+((83x+10)/(2x²-4x))

• 5x²+12x+20

• 10x⁴+3x+10

• 7x⁴+11x³+102x²+30x+22+(83 / 2x²-4x)

Tags

CCSS.HSA.APR.D.6

Is this division problem worked correctly?

• This is correct!

• This is incorrect, and error occurs on the 2nd line!

• This is incorrect, and the error occurs on the 4th line!

• This is incorrect, and the error occurs on the 3rd line!

Tags

CCSS.HSA.APR.D.6

Which term must be inserted in the dividend before you begin long division?

 $\left(2x^3+5x^2+9\right)\div\left(x+3\right)$  

•  $0x^4$  

•  $0x^3$  

•  $0x^2$  

•  $0x$  

Tags

CCSS.HSA.APR.D.6

2n³ + 7n² - 2n - 7

• cannot be factored
• (n - 1)²(2n + 7)
• (n² - 1)(2n + 7)
• (n + 1)(n - 1)(2n + 7)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor

• 16y⁴(2+y)(2-y)

• 16y⁴(2+y²)

• (2+y)(2-y)

• 4y⁴(2x+y)(2x-y)

Tags

CCSS.HSA.APR.C.4

Factor

• n(n-10)(n+5)

• n(n²-5n-50)

• (n+10)(n-5)

• n(n+10)(n-5)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor

• (x+3)(5x+2)(5x-2)

• (x+2)(3x-5)(3x+5)

• (x+3)(2x+5)(2x-5)

• (x-3)(2x+5)(2x-5)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

Factor:   x³ + 1

• (x + 1)³
• (x+1)(x² - x + 1)
• (x - 1) (x² + x - 1)
• (x + 1)(x² - 2x + 1)

Tags

CCSS.HSA.APR.C.4

Complete the formula
a³-b³=

• (a-b)(a²+ab+b²)
• (a+b)(a²-ab+b²)
• (a-b)(a²-ab+b²)
• (a+b)(a²+ab+b²)

Tags

CCSS.6.EE.A.2C