Finding Zeros of Polynomials Given One

Given one complex zero use the conjugate root theorem to find another.  Zero is 7-5i

• -7+5i

• 7-5i

• -7-5i

• 7+5i

Tags

CCSS.HSN.CN.A.3

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

One zero of 3x³-4x²-28x-16 is 4.
What is another zero?

• 8

• -2

• 6

• 1

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

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

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even

• Ask the person sitting next to me

• Use synthetic division and see if the remainder is zero

• Flip a coin

Tags

CCSS.HSA.APR.D.6

Find all zeroes given a factor of (x+3). f(x) = 2x³ + 5x² - 6x - 9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

Find all solutions, one factor has been given.

f(x) =x³-3x²-25x+75; (x-5)

• 5,-3,5

• 5,5,5

• 3,-5,5

• 1,1,1

Tags

CCSS.HSA.APR.B.2

Factor
x² -16x + 48

• (x - 12)(x - 4)

• (x + 6)(x - 8)

• (x + 12)(x - 4)

• (x -16)(x - 3)

Use the Fundamental Theorem of Algebra to determine the total number of solutions.

• A

• B

• C

• D

Tags

CCSS.HSN.CN.C.9