Finding Real and Complex Roots of Polynomials

Use the factor theorem to determine if (x + 2) is a factor of (x³ - x² - 25x + 25). 

• Yes
• No

Tags

CCSS.HSA.APR.B.2

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

• YES
• NO

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

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

How many roots does the above Polynomial have?

• 4
• 5
• 6
• 7

Factor:
 x³-12x²+47x-60=0 when 5 is a root.

• (x-3)(x-4)(x-5)=0
• (x+1)(x-4)(x-5)=0
• (x-3)(x-4)(2x-5)=0
• (x-5)(x-4)(x-5)=0

Tags

CCSS.HSA.APR.B.2

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 the roots of 0=x³-4x²+2x-8

• ±2,4
• ±2i,4
• ±i√2,4
• ±√2,4

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

• 2,4,3
• -1,1,3
• 3,2,1
• 4,5,6

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