Dividing & Solving Polynomials

Find all zeros for the polynomial
P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

FInd all zeros for the polynomial
f(x) = x⁴+8x²-9

• -1, ⅓, ±3i
• ½, -1, ±3i
• 1, -1, ±i√11
• 1, -1, ±3i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSN.CN.C.8

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Using synthetic division, find the remaining factors of

(x³ +x² -17x +15) if (x -1) is a factor?

*FACTOR COMPLETELY*

• (x + 5)(x - 3)

• (x + 5)(x + 3)

• (x - 5)(x + 3)

• (x - 5)(x - 3)

Tags

CCSS.HSA.APR.B.2

If you were dividing into x⁶ + 4x³ + 2, how many 0's would you need to plug in when setting up the problem?

• none!

• 2 zeros

• 4 zeros

• 6 zeros

Divide using long division

 $\frac{2x^4-7x^3+14x^2-55x+21}{2x-7}$  

•  $x^3-7x^2-3x$  

•  $x^3+7x-3$  

•  $x^3-7x^2+7x-3$  

•  $x^3-7x+3$  

Divide using synthetic division
 $2x^3-5x^2+3x+7\ \div\ \left(x-2\right)$  

• 2x³ - x² + x + 9

• 2x² - x + 1

•  $2x^2-x+1+\frac{9}{x-2}$  

•  $2x^2-9x-15-\frac{23}{x-2}$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

Simplify using long division

• 2x³ + 3x + (7/x-4)

• 2x² + 3x + 8 + (7/x-4)

• 2x² + 3x + 8

• 2x² - x + 10 + (6/x-4)

Is this division problem worked correctly? If not, where is the FIRST mistake made?

• This is correct!

• No, the first mistake is the solver forgot to subtract 2x.

• No, the first mistake is the solver forgot to subtract -8.

• No, the first mistake is x⋅x is not x².

Find all remaining zeros of the polynomial if x=1 is one of them.

4x⁴ + 4x³ - 9x² - x + 2

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