Zeros of polynomials

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSA.APR.B.3

The degree of the polynomial determines the max number of roots.

• True

• False

Tags

CCSS.HSN.CN.C.9

Factor
x² -16x + 48

• (x - 12)(x - 4)
• (x + 6)(x - 8)
• (x + 12)(x - 4)
• (x -16)(x - 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

is -3 a POSSIBLE zero of $f\left(x\right)=3x^3+2x^2-5x+2$  

• no, 3 is not a factor of 3

• yes

• no, 2 is not a factor of 3

• no, 3 is not a factor of 2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

List the ACTUAL rational zeros of

f(x) = x³ + 7x² - 2x -14 ?

• $\pm1,\pm2,\pm7,\pm14$

• 7, 2

• 7

• - 7

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

List the possible rational zeros of

f(x) = x³ - 4x² -4x + 16

• 1, 2, 4, 8, 16

• $\pm1,\pm2,\pm4,\pm8,\pm16$

• $\pm1,\pm4,\pm\frac{1}{4}$

• -2 and-4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

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.B.2

If a zero of a polynomial function has multiplicity 4 that means:

• The x intercept is at (4, 0)
• The graph will "bounce back" at that zero
• The graph will "pass through" at that zero
• Zeros cannot have multiplicity of 4

Tags

CCSS.HSA.APR.B.3

Match the graph to the function

• f(x)= -x²+3x+2
• f(x) = -x³+2
• f(x) = x³+2
• f(x) = ⅓x⁴-5x²+2

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Match the graph to the function

• f(x) = -x⁴-x³+5x²-6
• f(x) = x⁴+3x²-3x+1
• f(x) = -x³+2x²-x-6
• f(x) = x⁴+x³+5x²-6

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7