Synthetic division and roots

            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. 

(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

Find all the factors of   x³ -3x² -4x +12 given that -2 is a zero.

• (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

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

-3x²+x+4=0
How many roots does this equation have?

• 2
• 1
• 0
• 4

Divide
(5n² - 25n + 20) ÷ (n - 4)

• 5n - 5
• -5n + 5
• -5n - 5
• 5n + 5

Tags

CCSS.HSA.APR.D.6

2x³ + 7x² - 6x - 8 ÷ x + 4

• 2x² - x - 2
• 2x³ - x² - 2x
• 2x² + 15x + 54 + 208/x+4
• 2x³ + 15x² + 54x + 208

f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

• x=-4, x=3, x=-2
• x=-4, x=3, x=2
• x=-4, x=-3, x=2
• x=4, x=3, x=2

Tags

CCSS.HSF-IF.C.7C

Find all rational zeros, one zero has been given.
f(x) = 2x³+5x²-6x-9;   -3

• -1,-3,-3
• -1,-3,3/2
• 3,3,3
• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

Find all rational zeros, one zero has been given.
f(x) = x³-5x²-2x+24;   -2

• -2,1,0
• -2,-3,-4
• 4,3,-2
• 0,0,0