Factoring Polynomials with Graphs and Tables

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

What does multiplicity of a zero mean?

• Look at the number of terms
• How many times the zero repeats
• Find the sum of all the coefficients
• Ratio your x and y

Tags

CCSS.HSF-IF.C.7C

• 2
• 1
• 4
• cannot be determined

The polynomial
f(x) = 5x⁴ + 2x³ + 2x − 7 can have, at most, how many solutions?

• 5
• 4
• 3
• 2

• A
• B
• C
• D

Which is true about the equation of the graph shown?

• The function has an Odd degree
• The function has an Even degree
• The function has 5 real zeros
• The function has a positive leading coefficient

Which of the following could be the equation of the graph shown?

• f(x) = x² + 3x
• f(x)=x³ + 6x² + 9x
• f(x) = x² - 3x
• f(x)=x³ - 6x² + 9x

Tags

CCSS.HSA.APR.B.3

• a
• b
• c
• d

Which of the following could be the equation of the graph in factored form?

• y=-(x+1)(x-2)(x-4)
• y=(x+1)²(x-2)
  (x-4)³
• y = x(x+1)(x-2)
  (x-4)
• y=(x+1)³(x-3)
  (x-1)²

Tags

CCSS.HSA.APR.B.3

• A
• B
• C
• D