Real Zeros

One zero of 2x³-9x²-123x-220 is -4.
What is another zero?

• 18

• 4

• 11

• -7

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

• True

• False

Select 2 ways you can tell if x-2 is a factor of a polynomial function f(x).

• Substitute 2 for x in  $f\left(x\right)$ to see if the end result is 0.

• Synthetically divide  $f\left(x\right)$  by -2 to see if the end result is zero.

• Synthetically divide  $f\left(x\right)$  by 2 to see if the end result is zero.

Tags

CCSS.HSA.APR.B.2

Select 2 of the following statements that imply a zero of a polynomial function could have a multiplicity 4?

• The polynomials' graph has a bounce at the x intercept.

• The highest degree of the polynomial is 4.

• The polynomials' graph crosses the x- axis..

• 5

• 4

• 3

• 2

Tags

CCSS.HSF-IF.C.7C

Which statement is NOT TRUE regarding the graphed polynomial function? Check all that apply.

• The factors are $\left(x-1\right)\left(x+1\right)\left(x+1\right)\left(x+2\right)$  

• The solutions are:
   -2 (multiplicity of 1)
  -1  (multiplicity of 2)
    1 (multiplicity of 1)
  

• The intercepts are
  
   (-1, 0),   (0, 1),  (1, 0),  (2, 0)

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.HSF-IF.C.7C

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3

• 4

• 5

• 0