Roots/Graphs of Polynomials

Given the polynomial below, how many roots will it have?
 $y=x^3+5x^2-9x-2$  

• 2

• 1

• 3

• 0

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What are the roots of the polynomial?

• -3, 0, and 3

• 0

• -2, 10, and -10

• 11, 0 and -11

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

What are the zeros of the function?

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

What are the roots of the polynomial  $h\left(x\right)=\left(x-3\right)\left(x+2\right)\left(2x+1\right)$  

• -3,2,1

• 3,-2,-1

• 3,-2, $-\frac{1}{2}$  

• -3,2, $\frac{1}{2}$  

Tags

CCSS.HSA.APR.B.3

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.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

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

• no, 3 is not a zero of f(x)

• yes

• no, 2 is not a zero of f(x)

• no, -3 is not a zero of f(x)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

If a zero of a polynomial function has multiplicity 2 that means:

• The x intercept is at (2, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 2

Tags

CCSS.HSA.APR.B.3

Which does not describe the zeros of a polynomial?

• Where a graph crosses the x-axis

• Also known as the roots

• Where x=0

• The solution when a factor is set equal to zero

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)

• -1, 3
• 0, -1, 3
• 1, -3
• 0, -3, 1

Tags

CCSS.HSA.APR.B.3

Find the root(s) of the function.

• x = 3

• x = -3, -1, 2

• x = -3, 2

• x = -1

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11