5.6 - 5.8 ALGEBRA 2 QUIZ- ROOTS & ZEROS

Which binomial is a factor of

f(x)= x³ - 6x² + 3x +10?

• x + 1

• x + 2

• x + 5

• x + 10

What is the remainder when a³ - 4 is divided by a + 2?

• -2

• -6

• -12

• 0

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25
• 25
• 113
• -113

Tags

CCSS.HSA.APR.B.2

What are the three factors for
 (x³ -3x² -4x +12) ÷ (x + 2)?

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

Tags

CCSS.HSA.APR.B.2

 If(x) = $5x^3-3x^2+1$ , then the value of  $f\left(\frac{2}{5}\right)\ is$  

•  $\frac{21}{25}$  

•  $\frac{4}{5}$  

•  $\frac{7}{5}$  

•  $\frac{8}{5}$  

One of the zeros of

 $f\left(x\right)=x^3-4x^2-25x+100$  is 5.  Factor  $f\left(x\right).$  

•  $\left(x+4\right)\left(x-5\right)\left(x+5\right)$  

•  $\left(x-5\right)\left(x-4\right)\left(x+4\right)$  

•  $x\left(x-4\right)\left(x-5\right)$  

•  $\left(x-4\right)\left(x-5\right)\left(x+5\right)$  

Tags

CCSS.HSA.APR.B.2

Use the Factor Theorem to decide if  $\left(x-3\right)$  is a factor of  $g\left(x\right)=x^3-5x^2+11x-15.$  
 

• Yes

• No

Tags

CCSS.HSA.APR.B.2

If $\left(x-2\right)$  is a factor of  $4x^3-23x^2+26x+8$  , what are the zeros?

•  $\left\{\frac{1}{4},2,-4\right\}$  

•  $\left\{1,-1,2\right\}$  

•  $\left\{-1,-1,-2\right\}$  

•  $\left\{-\frac{1}{4},2,4\right\}$  

Tags

CCSS.HSF-IF.C.7C

Descartes' Rule of Signs is helpful is solving what kind of equation?

• rational
• exponential
• logarithmic
• polynomial

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.A.1

How many possible negatives solutions does the following polynomial have?

f(x) = x⁴ - 3x³ - 17x² + 39x -20

• 3 or 1

• 3

• 1

• 2 or 0

Tags

CCSS.HSA.APR.B.3