Search Header Logo

Graphs of Polynomials review

Authored by Beth Knott

Mathematics

9th - 11th Grade

CCSS covered

Used 4+ times

Graphs of Polynomials review
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

    Content View

    Student View

7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Consider the polynomial function

 p(x)=4x86x7+3x310p\left(x\right)=4x^8-6x^7+3x^3-10  .  What is the end behavior for the graph?

As  x,p(x)x\rightarrow\infty,p\left(x\right)\rightarrow\infty  and as  x,p(x)x\rightarrow-\infty,p\left(x\right)\rightarrow\infty  

As x,p(x)x\rightarrow\infty,p\left(x\right)\rightarrow-\infty   and as  x,p(x)x\rightarrow-\infty,p\left(x\right)\rightarrow\infty  

As  x,p(x)x\rightarrow\infty,p\left(x\right)\rightarrow-\infty  and as  x,p(x)x\rightarrow-\infty,p\left(x\right)\rightarrow-\infty  

As  x,p(x)x\rightarrow\infty,p\left(x\right)\rightarrow\infty  and as  x,p(x)x\rightarrow-\infty,p\left(x\right)\rightarrow-\infty  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What could be the equation of p?

p(x)=(x+1)2(2x+5)2(x3)2p\left(x\right)=\left(x+1\right)^2\left(2x+5\right)^2\left(x-3\right)^2

p(x)=(x+1)2(2x+5)(x3)p\left(x\right)=\left(x+1\right)^2\left(2x+5\right)\left(x-3\right)

p(x)=(x+1)2(2x+5)(x3)2p\left(x\right)=\left(x+1\right)^2\left(2x+5\right)\left(x-3\right)^2

p(x)=(x+1)(2x+5)(x3)2p\left(x\right)=\left(x+1\right)\left(2x+5\right)\left(x-3\right)^2

Tags

CCSS.HSA.APR.B.3

3.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Find all the zeros of

 p(x)=x(2x+5)(x+1)p\left(x\right)=x\left(2x+5\right)\left(x+1\right)  

 52-\frac{5}{2}  

-1

0

1

 52\frac{5}{2}  

Tags

CCSS.HSF-IF.C.7C

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 f(x)=(x5)(2x+7)(7x3)f\left(x\right)=\left(x-5\right)\left(2x+7\right)\left(7x-3\right)  has zeros at x = -3.5,  x=37x=\frac{3}{7}  , and x = 5.  What is the sign of f on the interval  37<x<5\frac{3}{7}<x<5  ?  

f is always positive on the interval

f is always negative on the interval

f is sometimes positive and sometimes negative on the interval

Tags

CCSS.HSA.APR.B.3

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What could be the equation of p?

p(x)=(2x1)2(x2)2p\left(x\right)=\left(2x-1\right)^2\left(x-2\right)^2

p(x)=(2x1)3(x2)3p\left(x\right)=\left(2x-1\right)^3\left(x-2\right)^3

p(x)=(2x1)3(x2)2p\left(x\right)=\left(2x-1\right)^3\left(x-2\right)^2

p(x)=(2x1)2(x2)3p\left(x\right)=\left(2x-1\right)^2\left(x-2\right)^3

Tags

CCSS.HSA.APR.B.3

6.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Find all of the zeros for p(x)=2x3x28x+4p\left(x\right)=2x^3-x^2-8x+4  


-4

-2

 12\frac{1}{2}  

2

4

7.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Find all of the zeros of p(x)=3x33x218xp\left(x\right)=3x^3-3x^2-18x  


-3

-2

0

2

3

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?