Unit 7 Quiz - Polynomial

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

• 4
• 7
• 2
• 1

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

• 3
• 4
• 5
• 0

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

• None
• 1
• 2
• 4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Is the leading coefficient for the polynomial in the image positive or negative?

• Negative

• Positive

• Cannot be determined

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

Tags

CCSS.HSF-IF.C.7C

Given
 $f\left(x\right)\ =\ 10x^2\left(2x-2\right)^3\left(x^2+3\right)$ ,
what is the multiplicity of  $x=0$  ?

• 10

• 3

• 2

• 0

Tags

CCSS.HSF-IF.C.7C

Write the equation of the polynomial function
zeros: 0, -2, 4
degree: 5   
0 has a multiplicity of 3

• f(x) = x³(x-2)(x+4)
• f(x) = x³(x+2)(x-4)
• f(x) = x²(x-2)(x+4)
• f(x) = x²(x+2)(x-4)

Tags

CCSS.HSA.APR.B.3

As $x\longrightarrow-\infty$  ,  $f\left(x\right)\longrightarrow$  

•  $\infty$  

•  $-\infty$  

As  $x\longrightarrow\infty$  ,  $f\left(x\right)\longrightarrow$  

•  $\infty$  

•  $-\infty$  

Factor: x⁶-x⁴-25x²+25=0

• (3x-1)(x+1)(x²-5)(3x²+5)=0
• (x-1)(x+1)(x²-5)(x²+5)=0
• x(x-1)(x²-5)(x²+5)=0
• (x-1)(x+3)(x²-5)(2x²+5)=0