Factor theorem and Long division review

Which binomial is a factor of
f(x)= x³ -6x² +3x +10?

• x + 1
• x + 2
• x + 5
• x + 10

Tags

CCSS.HSA.APR.B.2

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

Solve using long division $\left(2x^2+6x-20\right)\div\left(2x-4\right)$  

•  $x+5+\frac{2}{2x-4}$  

•  $x-8$  

•  $x-5+\frac{3}{2x-4}$  

•  $x+5$   

Tags

CCSS.HSA.APR.D.6

            Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.
• No, (x-2) is  not a factor. The remainder is zero.
• Yes, (x-2) is a factor. The remainder is zero.
• No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 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.D.6

Which binomial is a factor of 
f(x)= x³ + x² -24x +36?

• x + 2
• x + 3
• x + 6
• x + 9

Tags

CCSS.HSA.APR.B.2

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9
• 2x² - x + 1
• 2x² - x + 1 + 9/x-2
• 2x² - 9x - 15 - 23/x-2

Tags

CCSS.HSA.APR.D.6

Is (x-4) a factor of (x³ +x² -16x-16)?

• Yes, because the remainder is 1

• No, because the remainder is 1

• Yes, because the remainder is 0

• No, because the remainder is 0

Tags

CCSS.HSA.APR.B.2

Find all the real zeros of the function 
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 1/2, -6
• x = -1/2, 6
• x = 4, -1/2, 6
• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

 $p\left(x\right)=x^4-2x^3+kx-4$  , where k is an unknown integer.
p(x) divided by (x-1) has a remainder of 0.
What is the value of k?

Tags

CCSS.HSA.APR.B.2