Finding factors and roots of polynomial functions

How many zeros could this polynomial have? f(x) =x⁴-16

• 2

• at most 3

• 5

• at most 4

List all of the potential rational zeros for f(x) = 2x³+2x -3.

• +/- 1/2, +/- 1, +/- 3/2, +/- 3

• +/- 1, +/- 2, +/- 2/3, +/- 1/3

• +/- 1, +/- 2, +/- 3

• 0, 1, 2, 3

Tags

CCSS.HSA.APR.B.2

For f(x) = (x + 1)(x²+2x -8), what are the real zeros?

• 1,-2,4

• 1, 8, -1

• -1, -4, 2

• -1, -4, -8

Tags

CCSS.HSF-IF.C.7C

I used the rational zero theorem to find that 1 is a zero for a polynomial function. Now I could use __________________ to help find other real zeros.

• A graph of the function

• Synthetic division

• Factoring

• All of these

• None of these

Tags

CCSS.HSF-IF.C.7C

I used the rational zero theorem and a graph to find a potential zero for f(x) = -x³+5x-2. I think the zero is

• -2

• 1

• -1

• 2

Tags

CCSS.HSF-IF.C.7C

What method would I use to find the zeros for f(x) = 2x²+8x-21?

• grouping (divide and conquer)

• sum/difference of 2 cubes pattern

• quadratic formula

• factor out a common factor

Tags

CCSS.HSA-REI.B.4B