Find Zeros of a Polynomial

Given one complex zero use the conjugate root theorem to find another.  Zero is: -12-8i

• 12+8i

• -12+8i

• 12-8i

• -12-8i

Tags

CCSS.HSN.CN.A.3

To find zeroes of polynomials, we...

• say x=0

• make pancakes

• ask NASA

• set factors equal to zero

What do "zeros" represent?

• something a polynomial can not be.

• the place that the polynomial crosses the x axis/ the x value that makes the whole equation equal to zero

• the place that the polynomial crosses the y axis/ the y value where x=0

• the number zero

Tags

CCSS.HSF-IF.C.7C

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

One zero of 4x³-17x²-150x-189 is 9.
What is another zero?

• 4

• 7

• -3

• -6

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 zeros for the polynomial function P(x)= x³-3x²+12x-10

• 1, 1-3i, 1+3i

• 1, 1+3i, -1-3i

• -1, -1+3i, -1-3i

• -1, -5, 2

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

• 6, 3, -3

• -6, 3, -3

• -6, 3i, -3i

• 6, 3i, -3i